sin (x) tan(x) Vsec (x)-1 1-cos (x) Simplify the identity a) 2 b) 0 c) 1 d) 3

Q: Prove the identity. 10 10 + = 20 sec %3D 1- sin x 1+ sin x

A: Take lcm and then solve

Q: 2. Prove the identity: (cos x- sin x)2 + (cos x + sin x)2 = 2. %3D

A: To prove  that cosx-sinx2+cosx+sinx2=2

Q: True or false? Explain/Prove. 3. For any neN, dx+n dan [cos(-x)] = (-1)2n cos (-x).

A: Given query is to find statement is true or false.

Q: Prove the identity. 3 sin(x - y) 3 tan x - 3 tan y = cos y cos x

A:

Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y) = sin y %3D

A:

Q: Prove that: 1-tan? 0 cos? 0 - sin? e %3D 1+tan? 0

A: A function is said to be a rational function if it is given as the ratio of some values.  The…

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: 5. Verify the identity: sin(x- y)cos y+cos(x– y)sin y = sin x

A: Explanation of the solution is given below.....

Q: Prove the identity cos(x+y)cos y +sin(x+ y)siny =cos x

A: We have to prove the identity                              cosx+ycosy+sinx+ysiny=cosx

Q: Prove the identity 1/Cos X - 1/Sec X = Tan X * Sin X

A:

Q: Prove the identity. sin(x+y) sinx + cos(x+y) cosx = cosy

A:

Q: Derive/Prove: sin 2x = 2sin xcos x Useful Formula: cos 2x = cos?x-sin? x a. = 2 cos x-1 =1-2sin x…

A:

Q: sin*[In()ax x{cos[

A: Given : ∫ sin3ln72x4dxxcosln72x4-1 Let us take  u= ln72x4⇒dudx= -4x⇒dx=-x4du Therefore, ∫…

Q: Prove the identity. sin(2x) 1+ cos(2x) tan(x) = 2 sin(x) · sin(2x) 1+ cos(2x) 1+ (2 cos?(x) – 1) 2…

A:

Q: Prove the identity: csc 0 x tan 0 = sec 0

A:

Q: Prove the identity. cos (x-y) 1+ tanx tany cosx cosy

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

Q: 5. cos A =- and sin B =, both A and B in QIl. 6. cos A = - and cos B = - 2, with A and B in QIII. 17

A:

Q: 24. Prove the identity sec(x) (sin(x) + cos(x)) sec(x) + 2 sin(x)

A:

Q: 6. Prove that: ah cos (i) A sin (ar + b) = 2 sin (ah sin a (ii) A cos (ar + b) = - 2 sin

A:

Q: 3. Prove the identity : sin(x- y) tanx - tany cosxcosy

A: The given identity is, tanx-tany=sinx-ycosxcosy The identity will be true if the left-hand term will…

Q: Prove the identity. cos(x + y) + cos(x – y) = 2 cos(x) cos(y)

A: It is given that,

Q: Prove the identity: sin (x-y) tanx- tany cosx cosy

A:

Q: Evaluate: / [cos(x) – sin(x«) ]dr A cos(x) + sin(x) +C - cos(x) + sin(x) +C

A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

Q: 2. Prove the identity: cos (x-y)– cos (x+y) = 2 sinx siny

A:

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: sin x= 6/7, cos > 0, sin y = -1/5, and cos y < 0 How do I find sin(x + y), cos(x + y), and tan(x +…

A: Given that  sinx=67, cosx&gt;0,siny=-15and cosy&lt;0. We know that…

Q: cos ax dx = xe", a 2 0. (or) Evaluate x' +1 cos ax 2: Prove that x +1

A:

Q: tan? 20° – sin? 20° Compute: Show your work. tan² 20° sin² 20°

A: Given  tan220°-sin220°tan220°sin220°

Q: tan x csc x-tan x sin x tan +cos x cos? Prove = COS s“ x csc x Show all work to receive credit

A: We have to prove

Q: f2(x) = (4x + 5)°, f3(x) = (2x² + x)/x, fa(x) = cos(3x) – 2 sin² x,

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: Prove that sin? 0 + cosª 0 = sin“ 0 + cos² 0.

A: Using fundamental identity of trigonometry.

Q: VERIFY THE IDENTITIES

A: To verify

Q: (a-B) (at sin (a+B) 2- show that cosa – cosß = -2sin 2.

A:

Q: - Prove that tan 0 + cos 0 sin 0 cos 0 cos 0T sin 0 - Prove that cos? 0 – sin² 0 cos? 0 + sin A cos…

A:

Q: Prove the identity  cos(x+y)/cos x * cos y = 1- tan x * tan y

A:

Q: Prove the identity. sin(n-x)сos(n+x)tan(2π − x) T 3π 3π sec+ x)csc(³7-x)cot (³7 + x) = sin^x - sin²x

A: I have appended the formula used in the solution part of the question

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

A:

Q: Which is equal to (sin⁡x+cos⁡x)^2+(sin⁡x−cos⁡x)^2 using identities?   −2   1   2   −1

A: We have to find

Q: sin 2x sin x Cos 2x %3D Prove that 4 cos x - sec x Cos a

A:

Q: 7. Verify the identities: tan x tan x tan20 1-cos e a) 1+sec x = 2 csc x b) sec 0+1 %D 1-sec x cos e

A:

Q: tan(x) – cos²(x) dx Evaluate: cos(x) A sec(x) -sin (х) +с B B sec(x) + sin(x) + C © sin(x) – sec(x)…

A: We can find the integration as below

Q: Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

A: topic - trigonometric identities

Q: 8. Prove the identity sec 0 – cos 0 = sin 0 tan 0

A:

Q: Prove: 1 + 1 = 2 sec? x 1-sin x 1+sin x

A: Prove   1/(1-sinx) + 1/(1+sinx) = 2sec2x

Q: Prove the identity. 3 sin(x – y) cos y cos x 3 tan x - 3 tan y

A: Given that  3tanx-3tany=3sin(x-y)cosycosx We need to verify the given identity.

Q: tx)+ Sin(꼴-)- -26S X %3D Prove sin

A:

Q: Ca) Prove that sin-z = -i ln(iz + (1 – z²)/²). ) Find the principal value of sin (2i) and write your…

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Q: Prove that; (a) cos4θ- sin4θ = cos 2θ  (b) Sin (π/4 + A) + Sin (π/4 - A) ≡ √2 cos A

A:

Q: Solve r-t cos x+p tan x = 0, %3D

A: The solution is given as

Q: Prove the identities: (x sin 0 – y cos 0)² + (x cos 0 + y sin 0)² = x² + y²

A: