12 cos(x) CoS 13

Q: Express cos- (a) in terms of cos(2a). Express sin (a) in terms of cos(2a).

A: This question is of double angled identity.

Q: (÷++) + co« (5 - ). cos 3 x ) is equivalent to O cos 2x cos x O sin x cos x

A:

Q: 2 cos2(0) - cos(O) - 1 = 0

A:

Q: cos-1(cos x) = x for every x in the interval________.

A: To find the interval.

Q: (1- cos 0)(1+ cos 0) = sin´ e

A:

Q: -4 Evaluate /(cos' x sin x + cos x sin-6 Select one: a. -csc³ x + sin x + C b. -csc x + csc x + C С.…

A: Need to solve integration

Q: 2 cos(6)-13=0

A:

Q: Express cos (a) in terms of cos(2a). Express sin-(a) in terms of cos(2a).

A:

Q: 2 cos I Use a counter-example to show that cos 2x

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Q: Solue [2 cos 0-31-5 from 0 02360°

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Q: 0-3 cos 0+2 = 1, (0 sin²8 cos-3cos+2

A: We are asked solve the θ

Q: True or false: cos-1 x =1/cos x________.

A: Here given  cos-1x=1cos x

Q: 10. cos ( + 0.01). x :

A: We have to find the estimation of the given quantity around the given point x.

Q: 2) cos (0 + n) = -cos e =-COS

A:

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos (a) Choose... sin (a)…

A: Trigonometric formulas

Q: -5 sin x = -2 cos2 x + 4

A:

Q: 12. Evaluate Cos 0 -sin & - Bin sin 0 Co3 0

A: Given: cosθ−sinθsinθcosθ4

Q: 11 sin (0) cos³ (0) + 3 cos (0) do

A: Our Aim is to evaluate the integral given below:-∫11 sin θcos3 θ+3 cos θdθ -(i)

Q: 5 cos 30 lim 0-т 6 сos(-20) б coS

A: The given limit expression is limθ→π5cos3θ6cos-2θ.

Q: 39. cos (7 + x) 40. sin(27 - x) 41. sin 42. cos + x 2

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Q: 10. Simplify (cos x- sin x)? - (sin x-cos x)'.

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Q: Prove or disprove.

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Q: 3. X Using the Double angle formula and the fact cos x= cos( (4+4), 2 X 1+cOS X (a) prove that cos…

A: Given :(a) cosx2(b) cosπ12

Q: cos(2 + x () 2 + cos x

A:

Q: cos 2r Verify the identity: = cos x + sin x. sin x cos X

A: Verify the following: cos 2xcos x-sin x=cos x+sin x

Q: -1 cos COS 2)

A: Given: - The expression is, cos-1-12 To Evaluate: - The solution of the given expression.

Q: log, (22 + sin æ) – log; (a - cos a) 9

A: Given: log5x2+sinx-log5x-cosx we have to find ddxlog5x2+sinx-log5x-cosx…

Q: 4 cos(0) cos (sin(0)) do

A: To Evaluate ∫4cosθcos5sinθdθ

Q: Cos 9 2 Sin e cos8 © cos (e) cos o (d) cos'x + 2 Sinx + 2 = o

A:

Q: 1+ cos x 75. 1 cos a - 4 cot x csc I %3D Cos a 1+ cos x -

A:

Q: Verify the identity.

A: Given: verify the identity cos3x+cos5xcos3x-cos5x=cotxcot4x we know that…

Q: 39. cos (7 + x)

A: As per the company policy i can answer only first question for you, more than one answer leads me…

Q: Cos' 0-Sin' e 2 Cos o

A:

Q: VERIFY THE IDENTITY

A: By half angle formula , we have

Q: (cos^4 x) - (sin^4 x) = cos2x   verify the identity

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Q: cos x – 1.75 = -1 COS X sin(4x) = 2 – sin 4x 4 tan(2x) – 1 = 3

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Q: 49. sin + o) = cos 0 52. cos (7 - 0) = -cos 0 55. tan (7 - 0) tan 0 %3D

A: 49. sinπ2+θ=cosθ Using addition formula  sinA+B=sinAcosB+cosAsinBsinπ2+θ=sinπ2cosθ+cosπ2sinθ…

Q: 1. f(0) = cos 0. = cos

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 3 cos(0) sin(0) + 2 cos(0) = 0

A:

Q: π/2 0 sin³ cos Ode 0

A: This question is based on substitution method.

Q: sin cos 4 12 cos sin 12 4

A:

Q: 13) cos(74) = sin(x). Find x. %3D

A: O find the value of 'x'..

Q: 2 cos 2 ( x ) − 7 cos ( x ) + 5 = 0

A: Topic - trigonometric Equations Put cos 2x = 2 cos2 X-1

Q: entity. Cos (x- 90°)- cos(x+90°) = 2 sin x COS %3D

A:

Q: cos(x + =) – cos(x – ) = 1 6. cos ( x 6. 6.

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Q: cos 0 + sin 0 2 COS 0.

A: We use the Pythagorean identity to write the expression using sin only

Q: Cos 0/2 -cos 0=1

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Q: 90. (sin 0- cos 0) - 1= -2 sind cos 0 o€) 1=-2 sin & cos 0 COS

A: Given: sinθ−cosθ2−1=−2sinθcosθ We have to prove the given identity. Identity used: sin2θ+cos2θ=1

Q: 5(cos²æ – 1) sin x cos x sin x - ||

A: Using trigonometric formula, given trigonometric function is simplified.

Q: 1+ Cos 0 1-Cos 0

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…