7. (sin x + cos x)² = 1 + 2 sin x cos x

Q: cos x Prove: tan x = sec x. To receive full credit, you must show all steps. - 1-sin x

A: To prove,           cos x1-sin x - tan x = sec x.

Q: sin 20 + cos 20 = cot x tan x

A: Prove this using a right angled triangle and the pythagorean identity.

Q: sin? x 6. 1- = COS X 1+cos x

A:

Q: sec2 0 – (sec 0 + tan 0)(sec 0 – tan 0) cos? 0 cos² 0 = 1

A:

Q: cos(sin^-1(1/3))

A:

Q: Find the exact value of the expression. Not a decimal. sec [sin ^-1 (1/2)]

A: Given that we need to find the exact value of the expression  sec[sin-1 (1/2)] As we know that  sin…

Q: Establish each identity.

A: To establish the identity, we need to prove that the left hand side is equal to the right hand side.…

Q: cos(282°) cos(33°)– sin(282°) sin(33°) - Cos(3159) 2.

A: cos (282°) cos (33°)-sin (282°) sin (33°)Now, we know that cos(x+y)=cosx cosy-sinx sinySo, cos282°…

Q: Find the value of the function if it is defined. If it's not defined explain why. sec (cos−1 (−0.4))…

A:

Q: 1. If tan x = 2 then tan( - x) : %3D 2. If sin x = 0.7 then sin( – x) 3. If cos x = 0.7 then cos( –…

A:

Q: Sin 0= 4. tan 0>0 Part 1 of 3 (a) sin 20 = Part 2 of 3 (b) cos 20=

A:

Q: 24. 2 sin? x + 5 sin x- 12 = 0

A:

Q: Establish each identity.

A: To Solve the given identity By using the trigonometric ratio :- 1+sin θ1-sin θ = sec θ + tan θ2

Q: Establish each identity.

A: Consider the given identity sin θsin3θ+sin5θ=cos θcos3θ+cos5θ   Consider the LHS LHS=sin…

Q: 3 ) -5 cos (sin-1 () tan (cos-1 (=12)) cos ( 7. COS

A:

Q: plutions of the equation in the interval [0, 27). cos 4x sin 5x - sin 3x - 1 = 0

A:

Q: Prove that sec x - sin x tan x = cos x

A: .

Q: 21. sin x + 1 = 0 %3D

A: topic - solution of trigonometric equation

Q: Find the exact value of the expression. not a decimal Cos [Sin^-1(-1/2)]

A:

Q: sin 20 Cos0 1+ Cos 20 = tan 1+ cos0

A:

Q: 23. 4 sin' x-3 = 0

A:

Q: Find the all solutions of this equation in the interval [0, 2π):…

A:

Q: 3. sin[cos¯(4/5) – tan-'(3/4)]

A:

Q: Establish each identity given in attachment.

A: Given equation: 1+cosθ+sinθ1+cosθ-sinθ=secθ+tanθ

Q: 1. If tan x = -3 then tan (-x) =  2. If sin x = 0.3 then sin (-x) = 3. If cos x = 0.2 then cos (-x)…

A: Answer 1. We know that  sin(-x)=- sinx and cos(-x)= cos x  tan x= sin xcos xHence  tan (-x)= sin(-…

Q: 1. If tan x=1 then tan(−x)=    2. If sin x=0.2then sin(−x) =    3. If cos x=0.6 then cos(−x)=…

A:

Q: Please help me verify the identity: (sin x + cos x)^2 = 1 + 2(sin x) (cos x)

A:

Q: single trigonometric 2. Simplify sin (3x) cos (4x) + sin (4x) cos (3.x). Express your answer as a…

A: To simplify sin3x cos4x+sin4x cos3x. To express the answer as a single trigonometric function.

Q: 1) cos- 1 2 3) sin-1 V3 5) cos-.

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

Q: Evaluate: lime 1-sin 8+cos 8 sin 20-cos 0

A: Given expression is, limθ→π21-sin θ+cos θsin 2θ-cos θ. The L'Hospital rule states that…

Q: 3 (cos x)2 + 2 2(cot x)3 +4 cot x-5

A: Given the integral ∫3(cosx)2+22(cotx)3+4cotx-5dx

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

A:

Q: sin[cos^-1(12/13)+tan^-1(4/3)]

A: Given:

Q: Verify the identity. Show your work below. (cos x + sin x)² = 2 cos x sinx+1

A:

Q: cos² 2. Simplify the expression sin² -1 2-1 O-sec² x O-tan² x O tan² x O sec² x

A:

Q: 3. 3. COS x + sin ´ x cos x COS X

A:

Q: sin cos 4 12 cos sin 12 4

A:

Q: sin θ = -4/5  ,3pi/2   4< θ < 2π Find cos(2θ).

A:

Q: 7) sec0- 1 = sin 0 tan 0 sec0

A: Given : secθ - 1secθ = sinθtanθ

Q: tan 0+sec 0-1 %3D 1+sin 0 8. tan 0-sec 0+1 cos 0 Proof:

A:

Q: True or False: cos(sin 0) = 1 and sin(cos0) = %3D

A: I have shown that given result is False.

Q: sin0 - sece 8) cos0- csce 9) tan? 0 - cot? 0 1+ sine 1-sine 10) 1- sine 1+sin0 1 1 11) 1- sine 1+…

A: Question Number 8 Given expression sin θ - sec θcos θ - csc θ

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

A:

Q: cosx/1+sinx - 1-sinx/cosx = 0

A:

Q: 9. CSC X COS x + sin x = CSC X cos?

A: We have to prove the identity.

Q: sin x + CSC X cos x 8. = 1 sec x

A:

Q: sin x sec X tan x

A:

Q: sin? ( * ) = 3 1- sec 2 ( * ) 3 1+ cos 2 ( *) 3 1- cos 2 ( * ) 3 1+ sec 2 ( * ) 3

A: Given query is to find the correct option.

Q: Verify the identity. (Simplify at each step.) (1 + cos α)(1 − cos α) = sin2 α   (1 + cos α)(1 − cos…

A: