Use the fundamental identities to simplify the expression.    cos2y/(1-siny)

Q: Use the fundamental identities to simplify the expression cos2 y /(1 − sin y).

A: To simplify the expression cos2 y /(1 − sin y).

Q: Verify the following identity. 1+ cos 2x cotx%D sin 2x

A: Recall: sin2x = 2 sinx cosx cos2x = 2cos2x -1 cotx = cosxsinx

Q: prove the identity of sin(pi/2+)=cosx

A: We know the identity,

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A:

Q: Find the algebraic expression in x of: cot (cos" (-)) –

A:

Q: Use the fundamental identity to write two functions for cos a in terms of sin a. Indicate which…

A: The fundamental trigonometric identities can be listed as follows. Pythagorean Identity Reciprocal…

Q: Verify the identity: sin4 t - cos4 t = 1 - 2 cos2 t

A:

Q: Verify the identity. sin(8) 1 - cos(8) cot(0) + csc(0)

A:

Q: Prove the given identity  cos4A-cos2A=sin4A-sin2A

A:

Q: Prove the identity sin^2 THETA + cos^2 theta =1

A: Given: prove the identity

Q: Use identities to find the exact value. cos(-7π/12)

A: It is known that,

Q: Use the fundamental identities to fully simplify the expression. sin(x) cos(x) csc(x)

A:

Q: Verify that the equation is an identity. 41) cos 즉 2 = 1 - sin x 2 X sin 2

A: Here we have to verify the equation is an identity.   [cos(x/2) - sin(x/2)]2 = 1 - sin x

Q: prove the identity.  1+Cos?= Sin2?/ 1-Cos?

A:

Q: Evaluate (a) sin-1 (b) cos-1 (-)

A: Solve the trigonometry

Q: Verify the identity cos2 θ/2 = (sec θ + 1) /2 sec θ

A: Given: verify that cos2θ2=secθ+12secθ for verifying this we simplify right hand side

Q: Verify the identity cos 4t = 1 - 8 sin2 t cos2 t.

A: To prove: cos4t=1-8 sin2t cos2t

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: We know the standard identity: sin2A + cos2A = 1   To show: sinθ/2cscθ/2 + cosθ/2secθ/2  =  1

Q: Verify the identity. cos² t sin t -=cos tcot t

A: We have to Verify the given  identity cos2tsint=cost cott

Q: Use a product-to-sum formula to rewrite cos 3z sin 2z as a sum or difference.

A:

Q: Show that cos (90 degree - A) = sin A.

A: The given identity is cos90∘ -A=sinA.

Q: Use the fundamental identities to fully simplify the expression. sin(x) cos(x) sec(x)

A: Given:

Q: Use the sum-to-product identities to rewrite the following expression in terms containing only first…

A: Solve the following

Q: Expand and simplify  (cos theta - sin theta ) 2

A: Given: cosθ-sinθ2 We have to expand and simplify the given expression.

Q: he exact value of cos A in simplest radical form.

A:

Q: Verify the identity (sin θ + cos θ)2 + (sin θ - cos θ)2 = 2.

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: To verify the equation, cos θ(tan θ+ cot θ)=csc θ,  simplifying the left-hand side expression, cos…

Q: sin (3pi/2 + theta) = -cos (theta)

A:

Q: Verify the identity sin(+e) - cos e

A: Given : sin ( 3π/2 + θ ) = - cos ( θ )

Q: Prove the identity. cos?x cscx+1 1- sinx cscx

A:

Q: Use Identities to find the exact value. 19) cos 165°

A: cos(A+B)=cos(A) cos(B)-sin(A)sin(B)

Q: cos s e + cscOsind| 2. sin²e

A: To simplify cos2θsin2θ+cscθsinθ

Q: Verify that the equation is an identity. 1+ cos 0 Show that (csc0+ cot0)3D 1- cos 0

A:

Q: Derive the identity using the identities listed in this section.

A:

Q: Determine an identity for cos 30 in terms of sin 0 and cos 0. 13.

A:

Q: 1+ sinx COSX 3D2 secx +. 1+ sinx

A: We have to proof

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Given: Verify the identity by transforming the lefthand side into the right-hand side. We know that…

Q: Verify the identity : (sin θ + cos θ)2 = 1 + sin 2θ

A: we have to verify the identity: sin θ +cos θ2=1+sin 2θ

Q: Derive the following formulas: cos 2x =1-2 sin² x

A:

Q: Use basic identities to simplify sin r + cos2 a sin a.

A:

Q: Use the equivalent forms of the first Pythagorean identity. = and 0 terminates in QII. 2 Find cos 0…

A:

Q: Evaluate a)  2 cos180°/sin90° and  b) sin 150⁰

A: Solution: The objective is to find the required values

Q: Verify the identity: cos2 θ(1 + tan2 θ) = 1

A: we have to verify the identity:     cos2 θ(1 + tan2 θ) = 1

Q: Find the right part of the identity. secβ-cosβ=

A: Given,  secβ-cosβ   We have to find the right part of the identity.

Q: Derive the identity using the identities listed in this section.

A: