What is always true? O sin A - cos A O sin A- cos B sin A- cos C O sin A- tan B

Q: Use the method of substitution to evaluate | 2x cos x² dx. sin x? + c – sin x? + c sin x? + c sin x-

A: We use substitution method

Q: tan e de (1+ In cos ele

A:

Q: cos(a+ ß) =cos a cos ß - sin a sin ß Cosine Sum and Difference: cos(a- ß) =cos a cos ß +sinasin ß…

A:

Q: 5 sin a -3 cos a If 5 tan a = 4, Show that 5 sin a +2 cos a 116

A: Given: 5 tanα=4

Q: tan x-1 3. tan x - 1 sin? x +3 sin x +2 4. sin x +2

A:

Q: Prove the following identity: 1-cos x sin x sin x 1+cos x

A: To prove: 1-cos xsin x=sin x1 + cos x Use the trigonometric identity, sin2x + cos2x = 1

Q: sinr cos (x - y) - cosx sin (x - )

A: As we know that the trigonometric identities: sinA-B=sinAcosB-cosAsinB   Given:…

Q: sin ;cos 3

A: Given: sinπ4=          ……1cos8π3=          ……2

Q: What is an equivalent expression in terms of sine for cos(68)?

A:

Q: True or False.  This is an identity.   tan B sin B = sec B - cos B

A:

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

A: Solve the trigonometry

Q: sin? 0 1- cose (7) cos“ 0+2 cos0+1 1+ cos0

A: To prove ..

Q: tana - sin a tan a sin? a 1+ cos a

A: Given identity is,  tanα-sinαsin2α=tanα1+cosα. Take the Left Hand Side:…

Q: Verify the identity. cos(u) sec(u) tan(u) cot(u) Use a Reciprocal Identity to rewrite the…

A: Given Left Hand Side,

Q: Which of the following identities is FALSE? O tan? 0+1= csc2 e CSC O tan 0 sin 0 cos e O sin 0+ cos…

A:

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

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

Q: 2л sin O te! 4+ cos 0 -do

A:

Q: cos a Jsin a

A: Given: ∫cos5αsinαdα =∫(1-sin2α)2cosαsinαdαApply u-substitution u=sinα…

Q: Evaluate sin z -dx /4 - coS I

A: Use the substitution method and first simplify the integration than integrate.

Q: cos 2 -x) + cos? cos? x CSC X

A:

Q: tan A - tan B = I+ tan A tan B tan(A-B).

A:

Q: Evaluate [ (cos² 0 + 2 csc² 0 + sin² 0) do .

A: