Square root of 2 cos2x: Mathway (2023)

Content

mathway | Popular tasks

1Find exact valuesin(30)
2Find exact valuesin(45)
3Find exact valuesin(30 deg. )
4Find exact valuesin(60 deg. )
5Find exact valuetan (30 degrees)
6Find exact valuearcsin(-1)
7Find exact valuesin(pi/6)
8
Find exact value
cos(pi/4)
9Find exact valuesin(45 deg.Корень из 2 cos2x: Mathway (1))
10Find exact valuesin(pi/3)
11Find exact valuearctan(-1)
12Find exact valuecos(45 deg. )
13Find exact valuecos(30 deg. )
14Find exact valuetan(60)
15Find exact valuecsc(45 deg. )
16Find exact valuetan (60 degrees)
17Find exact valuesec(30 grad.Корень из 2 cos2x: Mathway (2))
18Find exact valuecos(60 deg. )
19Find exact valuecos(150)
20Find exact valuesin(60)
21Find exact valuecos(pi/2)
22Find exact valuetan (45 degrees)
23Find exact valuearctan(- square root of 3)
24Find exact valuecsc(60 deg. )
25Find exact valuesec(45 grad.Корень из 2 cos2x: Mathway (3))
26Find exact valuecsc(30 deg. )
27Find exact valuesin(0)
28Find exact valuesin(120)
29Find exact valuecos(90)
30Convert from radians to degreespi/3
31Find exact valuetan(30)
32Convert from degrees to radians45
33Find exact valuecos(45)
34Simplifysin(theta)^2+cos(theta)^2
35Convert from radians to degreespi/6
36Find exact valuecot(30 grad.Корень из 2 cos2x: Mathway (4))
37Find exact valuearccos(-1)
38Find exact valuearctan(0)
39Find exact valuecot(60 deg. )
40Convert from degrees to radians30
41Convert from radians to degrees(2pi)/3
42Find exact valuesin((5pi)/3)
43Find exact valuesin((3pi)/4)
44Find exact valuetan(pi/2)
45Find exact valuesin(300)
46Find exact valuecos(30)
47Find exact valuecos(60)
48Find exact valuecos(0)
49Find exact valuecos(135)
50Find exact valuecos((5pi)/3)
51Find exact valuecos(210)
52Find exact valuesec(60 grad.Корень из 2 cos2x: Mathway (5))
53Find exact valuesin(300 deg. )
54Convert from degrees to radians135
55Convert from degrees to radians150
56Convert from radians to degrees(5pi)/6
57Convert from radians to degrees(5pi)/3
58Convert from degrees to radians89 city.
59Convert from degrees to radians60
60Find exact valuesin(135 deg.Корень из 2 cos2x: Mathway (6))
61Find exact valuesin(150)
62Find exact valuesin(240 deg. )
63Find exact valuecot(45 deg. )
64Convert from radians to degrees(5pi)/4
65Find exact valuesin(225)
66Find exact valuesin(240)
67Find exact valuecos(150 deg. )
68Find exact valuetan(45)
69Calculatesin(30 deg.Корень из 2 cos2x: Mathway (7))
70Find exact valuesec(0)
71Find exact valuecos((5pi)/6)
72Find exact valuecsc(30)
73Find exact valuearcsin((square root of 2)/2)
74Find exact valuetan((5pi)/3)
75Find exact valuetan(0)
76Calculatesin(60 deg. )
77Find exact valuearctan(-( square root of 3)/3)
78Convert from radians to degrees(3pi)/4
79Find exact valuesin((7pi)/4)
80Find exact valuearcsin(-1/2)
81Find exact valuesin((4pi)/3)
82Find exact valuecsc(45)
83Simplifyarctan( square root of 3)
84Find exact valuesin(135)
85Find exact valuesin(105)
86Find exact valuesin(150 deg.Корень из 2 cos2x: Mathway (8))
87Find exact valuesin((2pi)/3)
88Find exact valuetan((2pi)/3)
89Convert from radians to degreespi/4
90Find exact valuesin(pi/2)
91Find exact valuesec(45)
92Find exact valuecos((5pi)/4)
93Find exact valuecos((7pi)/6)
94Find exact valuearcsin(0)
95Find exact valuesin(120 deg.Корень из 2 cos2x: Mathway (9))
96Find exact valuetan((7pi)/6)
97Find exact valuecos(270)
98Find exact valuesin((7pi)/6)
99Find exact valuearcsin(-( square root of 2)/2)
100Convert from degrees to radians88 city.

Test, grade 10

Final control in algebra and the beginnings of analysis

Test grade 10

Teacher N.P. Gryzina MBOU School No. 3, Ozyory.

Boption 1.Корень из 2 cos2x: Mathway (10)

Part one.

1. Simplify the expression: (2sin2x – 2cos2x)tg2x

1. –cos2x. 2. 2. 3. – 4. 4. – 2sin2x

2.Find the value of the expression: 6tg2x - 2 if cos2x = 0.5

– 2. 2. – 5. 3. 22.4. 4.

    3.Calculate: sin550 cos350 + cos550 sin350.

    1. 1. 2.0. 3.Sin200. 4.— 2

    4.Find the set of values ​​of the function y = 3cos28x - 2.

    2.3.4.

      5. Solve the equation: sinx - = 0

      1.+2πn, nZ. 2. (- 1)n + , nZ

      3.+n, nZ. 4.± +πn, nZ.

      6.Solve inequality: ≥0

      [2;+).2. (- ; — 4)

        3.( — 4; — ] [2; +).4. (-;

        7.The function is given by a graph on the interval . Indicate the values ​​of x for which the function is negative.

        2. 3. (-1; 2).Корень из 2 cos2x: Mathway (11) 4.[-4; -3) (-1; 2).

          8.Find the derivative of the function y \u003d 4 × 3 - 2cosx

          1. 12×2 + 2sinx. 2.12×3 + 2sinx. 3. 7×2 – 2sinx. 4.3×2 – 2cosx.

          9.Specify an even function.

          1. y=sinx – x2. 2. Y=x2 + x + cosx.3.Y=sin2x + x3.4. Y=7×2 +cos3x.

          10. Find the slope of the tangent drawn to the graph of the function y \u003d x2 at the point with the abscissa x0 \u003d 1.

          1.1. 2.2. 3. 3. 4. 0,5.

          IN 1.Find the value of the expression: tg(π+α)sin( – α)cos( +α) for α=–

          AT 2.The point moves in a straight line according to the law x(t) = 2t3 - 1.5t2 + 5 (where t is the time in seconds, x is the distance in meters). Calculate the speed of the point at time t = 2c.

          B3.How many integers are in the scope of the function

          F(x) = ?

          Part two.

          AT 4.The function is defined on the segment .Корень из 2 cos2x: Mathway (12)The figure shows a graph of its derivative. Specify the number of minimum points of the function y = f(x).

          B5.Find the longest interval of decreasing function


          y= x3– 4×2 + 6x +3.

          B6.Determine the number of roots of the equation 2sin2x - 3sinx - 2 = 0 on the segment.

          AT 7.Find f(x0) if f(x) = (3x–5)2 + , x0= 2.

          C1.Find the set of values ​​of the function f(x) = x+cos2x defined on the interval .

          With 2. Find all solutions of the system of equations

          satisfying the condition (x - y).

          With 3.Find all values ​​of the parameter p for which the given equation has no roots:

          4sin3x+3cos2x+p=0.

          Test grade 10

          Option 2.

          Part one.

          A 1.Simplify the expression: sin22x.

          1.–1.2.2. 3. 0. 4. 4.

          A2. Find the value of the expression: 7 - 3cos2x if tg2x = 2.Корень из 2 cos2x: Mathway (13)

          1. 1.2.6.3. 5,5.4.4.

          A 3. Calculate: cos 700 cos 200 - sin 700sin 200 .

          1.–1. 2. Sin500. 3. Cos500. 4. 0.

          A4. Find the set of values ​​of the function y = 6 + sin2x.

          1. . 2..3. .4..

          A5.Solve the equation: sin =.

          1.(–1)n2. ±.3. (–1)n4.±

          A6.Solve the inequality:

          1.( –4;2][4;+).2.(–3. (–4.[–4;2]

          A7.The function is given by a graph on the interval . Indicate those x values ​​for which the function is positive.

          1.(–3;–1)2.(0;3].3.[–3;–1].4. (3;4).

            A8. Find the derivative of a function: y= 6x4 - 3

            1. 10x+3cosx. 2. 24×4– 3cosx. 3.24×3- 3cosx.4.4×3+3sinx.

            A9.Specify an odd function.

            1. y=x7+cosx.Корень из 2 cos2x: Mathway (14) 2.Y=x5+2sinx.3. Y=2×3–cos2x.4.Y=x4+sinx.

            A10.Find the slope of the tangent drawn to the graph of the function y \u003d 5x3–7x at the point with the abscissa x0 \u003d 2.

            1.23. 2. 67. 3.8.4.53.

            IN 1. Find the value of the expression: tgsin(2π-α)cos(π+α), with α=.

            AT 2.The body moves in a straight line according to the law x(t)=3t3 - 2t2 - t (where t is the time in seconds, x is the distance in meters). Calculate the speed of the body at the moment t=2c.

            B3.How many integers are in the scope of the function

            F(x)=.

            Part two.

            AT 4.The function is defined on the interval [-5;3]. The figure shows a graph of its derivative. specify the number of maximum points of the function y=f(x).

            B 5. Find the longest interval of increasing function

            F(x)=–.

            B 6. Determine the number of roots of the equation on a given interval:

            2cos2x–5cosx+2=0, [0;π].Корень из 2 cos2x: Mathway (15)

            B 7. Find f'(x0) if f(x)=.

            C 1. Find the set of values ​​of the function f(x)= x – , defined on the interval .

            C 2. Find all solutions of the system of equations that satisfy the condition (x + y).

            C 3. Find all values ​​of the parameter p for which this equation has at least one root pctg2x+2sinx+p=3.

            Test Grade 8

            Option 1.

            Part one.

            1.Represent the number - 0.125 as a square or cube.

            A. (–0,25)2. B.(–0,5)3. IN. (–0,25)3.D. It is impossible to imagine.

            2.Expressions are given: 1) ; 2) ; 3) Which of these expressions do not make sense at x=3?

            A. only 2. B. only 1. IN.1 and 3. D.1 and 2.

            3.Simplify the expression:

            Answer:____________

            4.What is the value of the expression ?

            A.

            5.Solve an equation: 7x2+9x+2=0.

            A.Корень из 2 cos2x: Mathway (16) no roots. B.7; –2. IN. –1;. D. ; 1.

            6.Find the value of an expression:

            Answer:_______________

            7.Solve the inequality: 5x+1

            A.(–B.(2;+.IN. (–D.(–2;+

            8.Solve the equation: x2+3x=0.

            A.0;3. B. 0;–3.IN.0. D.–3.

            9.Sort the numbers in ascending order.

            Answer:________________

            10.Solve the system of inequalities:

            Answer:_________________

            11. Which of the following statements is true about the equation:

            -3x2=2–x?

            A.The equation has one root. B. The equation has no roots.

            IN.has two roots of different signs. D. has two roots of the same sign.

            12. For each graph, specify the function corresponding to it:

            A) y=x2;B) u=–1.5x2; IN) y=-2x+2; D)in=

            Part two.Корень из 2 cos2x: Mathway (17)

            1. (2 points) Solve the equation:

            .

            2.(4 points) Solve the system of inequalities:

            3. (6 points) The boat travels 8 km upstream and another 30 km downstream in the same time it takes a raft to travel 4 km in this river. The speed of the boat in still water is 18 km/h. Find the speed of the river.

            Test Grade 8

            Option 2.

            Part one.

            1.Represent the number 0.0027 as a square or cube.

            A.(0,09)2. B.0,33. IN.(0,03)2. D.It is impossible to imagine.

            2. Expressions are given: 1) ; 2) Which of these expressions do not make sense at x=-3.

            A.Only 1. B. 1 and 2. IN. 2 and 3.D.1 and 3.Корень из 2 cos2x: Mathway (18)

            3.Simplify the expression:

            Answer:__________

            4.What is the value of the expression ?

            A.. B.. IN. –25. D.25.

            5.Solve the equation: 5x2–7x+2=0.

            A.1,6; –. B. 1; .IN. –1;–0,4.D.There are no roots.

            6.What is the value of the expression

            Answer___________

            7. Solve the inequality: 2x + 5.

            A. (–B.(–IN.(–1;+D. (4;+

            8.Solve the equation: x2-9x=0.

            A.–9. B.0; 9. IN.0.D. 0;–9.

            9.Arrange the numbers 2.5; and in ascending order.

            Answer:____________

            10. Solve the system of inequalities:

            Answer:____________

            11.Корень из 2 cos2x: Mathway (19) Which of the following statements is correct regarding the equation 3x2=4-x?

            A.The equation has a single positive root.

            B.The equation has a single negative root.

            IN.The equation has two roots of different signs.

            D.The equation has two roots of the same sign.

            12. For each graph, specify the function corresponding to it.

            A.u=1.5x2;B. in=; IN.Y=2x; D.Y=-x3;

            Part two.

            1. (2 points) Solve the equation: – =.

            2. (4 points) Solve the system of equations:

            3.Корень из 2 cos2x: Mathway (20)(6 points) The motorcyclist covered the distance from point M to point N in 5 hours. On the way back, he rode the first 36 km at the same speed, and the rest of the way at a speed of 3 km/h more. At what speed did the motorcyclist initially drive if he spent 15 minutes less on the way back than on the way from M to N?

            sinx + cosx = sqrt(2) cos2x

            CHHAYA PUBLICATION - GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS - Short Answer Questions

            20 videos

            ADVERTISEMENT

            Now read without ads

            ki rakwat ke!

            Updated on: 27-06-2022

            Text solution

            Answer

            Nπ-π4,2nπ+π12,2nπ-7π12

            Related videos

            ∫SINX+SIN2X√COSX+COS2XDX

            ∫SINX+SIN2X√COSX+COS2XDX.0003

            8491692

            11:17

            ∫cos2x(sinx+cosx)2dx is equal to

            53803847

            01:49

            ∫cos2x(sinx+cosx)2dx is equal to :

            94832207

            04:44

            General solution of cos2x=√2(cosx−sinx) is

            121601159

            04:29

            Integrate with respect to x.
            cos2x(sinx+cosx)2

            124631255

            03:37

            cosx +sinx=cos2x+sin2x

            127291042

            07:59

            Find Integrals of Functions
            COS2X (COSX+SINX) 2

            515792598

            02:43

            Find Integrals of Functions
            COS2X (COSX+SINX) 2

            5175666987

            04:52

            517566987

            04:52

            517566987 9000 2 9000 2 5175666987 9000.Корень из 2 cos2x: Mathway (21)

            9000 2

            517566987 9000.

            9000 2

            517566987 9000. 9000 2

            5175666987 9000. 9000 2

            A=[cosxsinx−sinxcosx], show that A2=[cos2xsin2x−sin2xcos2x] and A1A=1.

            642796754

            09:48

            ∫COS2X (SINX+COSX) 2DX авен

            642977033

            02:52

            ∫ (COS2X (SINX+COSX) 2) DX Equals Equals Equals Equals Equals Equals Equals Equals Equal Equal Equal Equal Equal Equal Equal Equal Equal Equal Equal Equal Equal Equal Equal Equal Equal

            0003

            06:36

            cos2x (sinx+cosx) 2dx авен

            644365336

            03:18

            If F (x) = Beg | {vmatrix} cos2x & cos2x & sin2x \ –cosx & cosxx & cosxx & cosxx & sinx & sinx & sinx & sinx & sinx & cosxx & cosxx & cosxx & cosxx & cosxx & sinx & sinx & sinx & cosxx & sinonx \ \ o jatrix} then

            644545331

            05:26

            Integrate the functionscos2x(cosx+sinx)2

            644861887

            03:13

            Find the integrals of the function: cos2x(cosx+sinx)2

            644870942

            03 :16

            AD 9(@))

            05:53

          1. COT2X = COSX + SINX

            07:21

          2. SINX + COSX = SQRT (2) COS2X

            06:11

          3. 9 9019

          4. 9000 2X — COT2X

            06:11

          5. 2 9019

            29

            .Корень из 2 cos2x: Mathway (22)

            04:21

          6. COSX + COS2X + COS3X = 0

            03:16

          7. SIN2X + SIN4X + SIN6X = 0

            04:26

          8. COSX -3x2x2x2x 2

          9. 2

          10. . 18

          11. sin theta +sin 2theta+sin3theta+sin4theta=0 92x_1`

            `sinx_1=sqrt(2)`

            If you try to calculate `arcsinsqrt2` in your calculator, you will get an error. This is because it doesn't exist. The values ​​that exist for arcsin range from -1 to 1, and `sqrt(2)>1`

            The value of `sin((3pi)/4)` is `sqrt(2)/2`; hence it cannot be a solution for `arcsinsqrt2` . Rather, it is the product of one existing root `pi/4`.

            Also note in the graph of the function that the graph does not intersect the x-axis at sqrt(2), further confirming that the root does not exist. Rather, all roots of this function are multiples of 1 existing root, pi/4, since this is an infinitely repeating function. 92x_2`

            Because you can't take the square root of a negative number, x2 doesn't exist.Корень из 2 cos2x: Mathway (23)

            See eNotes without ads

            Startwith 48 hour free trialto access over 30,000 additional tutorials and over 350,000 homework help questions answered by our experts.

            Get 48 hours of free access

            Already registered? Sign in here.

            Approved by the editors of eNotes

            Ask a question

            Similar questions

            view all

            Mathematics

            Last reply posted on September 07, 2010 at 12:47:25 pm.

            What do the letters R, Q, N and Z mean in mathematics?

            14 teacher answers

            mathematics

            Last reply posted Oct 07, 2013Корень из 2 cos2x: Mathway (24)at 20:13:27.

            How to determine if this equation is a linear or non-linear function?

            84 Answers of the educator

            Mathematics

            Last reply posted Oct 09, 2017 at 00:54:39

            Add 1 plus 2 plus 3 plus 4. . . up to 100.

            3 teacher responses

            Mathematics

            Last reply posted Feb 25, 2016 at 6:48:45 pm.

            How long (in hours) will your journey take if you travel 350 km at an average speed of 80 km/h? What is the formula with data: time, distance, speed or speed?

            1 teacher's answer

            Mathematics

            Last reply posted Oct 3, 2011 at 2:12:01 pm.

            This limit is the derivative of some function f for some number a. point it to f and a.Корень из 2 cos2x: Mathway (25)

            No related posts.

          12. Top Articles
            Latest Posts
            Article information

            Author: Clemencia Bogisich Ret

            Last Updated: 07/10/2023

            Views: 6286

            Rating: 5 / 5 (80 voted)

            Reviews: 87% of readers found this page helpful

            Author information

            Name: Clemencia Bogisich Ret

            Birthday: 2001-07-17

            Address: Suite 794 53887 Geri Spring, West Cristentown, KY 54855

            Phone: +5934435460663

            Job: Central Hospitality Director

            Hobby: Yoga, Electronics, Rafting, Lockpicking, Inline skating, Puzzles, scrapbook

            Introduction: My name is Clemencia Bogisich Ret, I am a super, outstanding, graceful, friendly, vast, comfortable, agreeable person who loves writing and wants to share my knowledge and understanding with you.