1. cos t (1 + tan²t) sin ß sec ß + cos ß csc ß 2.

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2=…

Q: sinx = 5/13, x E 5,1], then cosx =?

A: We are solving the problem by the property of trigonometry ratio.

Q: Find  sin?,cos?,???tan?sin⁡θ,cos⁡θ,andtan⁡θ  if  csc?=−2921csc⁡θ=−2921    and  cos θ < 0.

A: Given Cosecθ=2921and we have to calculate the value of sin(θ), cos(θ), tan(θ)

Q: 2) Find the exact simplified value. * (ese(-) TC cot-1 CSC 2.

A: We are given,  .

Q: 9. 4 sec2 0 tan 0 d0 0,

A: The solution is given below

Q: What is csca if sec a = -4/3 and tana < 0?

A: What is csca if seca=-43 and tana&lt;0?

Q: 5. Differentiate y = csc z(x + cot x).

A:

Q: 1. Use the graph below to answer the following questions. 10 A) Write a cosine function: B) Write a…

A:

Q: 4 cos x + 2 sin r = 2 COS

A: As we know, Sin2x + cos2 x = 1 Since the interval is not given so we have to find general solution

Q: Cos 2x cos X-sin 2x sin x=radical 3/2. Use 0

A:

Q: 꺼니 Sin (t) dt Cos? CE)

A:

Q: Find the value of cos (570)sin (510) + sin (- 330)cos (- 390)

A:

Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

A:

Q: 4. COS V sin v = csc v sin v 5. cot(a) cos(-a) + sin(- α) - csc (α)

A:

Q: 41. TT/3 sec 0 tan 0 de

A: The given problem is to evaluate the given definite integral over the given limits.

Q: cot cos + tan sin (cosec+ sec )(1 - sin cos)

A: To prove that the given relation is true

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: cos x sin x = csc 2x cos 3x sec 2x

A:

Q: If y = cose z then value of y' will be Select one: Az sine A O e-z, sine-Az O d.e dz¸ sine d O -A. e…

A:

Q: Consider the angle t defined by on the unit circle. y TO IND (3) I

A: Consider the angle t defined by the point 35, 45 on the unit circle. To Find:1 sint=?2 cost=?3…

Q: 16. Establish the identity: os 0)² + (sin 0- cos 0)2 = 2 %3D

A: We need to establish the identity  (sinθ+cosθ)2+(sinθ-cosθ)2=2

Q: Si cos°(3x)sin (3x) – cos (3x) sin°(3x) dx

A: First we common out cos7(3x) sin7(3x) and then apply the formula cos2(3x)-sin2(3x)=cos(6x)

Q: Differentiate y = (sin x)e A. (sin x)e (cot x- 2ln sinx) B. (sin x)e (cot x – In sinx) C. (sin x)e…

A: To find the derivative.

Q: 2) Find the value of: sec(tan )+ cos(sin ? 2. CoS

A:

Q: 5. What is the minimum value of the function f(x) = 3 sin (x - 1) + 4? a)-1 b) 1 c) 4 d) 3

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.