sin 3x Prove the identity 4 cos x- sec x. sin x cos x

Q: cos(- 3. Find the exact value of '12' 4 sin' x 2 sin(2x) = 4. Prove tan x

A: 3 We have to find exact value of cosπ12          since we know that cosπ6=32          since we…

Q: sin 2.x Using Half Angle identities, verify sin 2 cos 2 2 sin x

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: sec x- sin xtan x= cos

A: see 2nd step

Q: 1-cos x 2 Establish the identity: = csC x + cot sin x - sin a Cos x

A: Identity can be defined as the statement or equation that holds true for all conditions.In an…

Q: (1+sin2x)/(sin2x)=1+(1/2)(sec x)(csc x) prove identity

A: Left hand side:1+sin(2x)sin(2x)=1sin(2x)+sin(2x)sin(2x)=1sin(2x)+1=12sin(x)cos(x)+1  [using double…

Q: sin x – 2+ csc x (c) sin x – 1 sin x CSc x sin x + 1 | 1 (d) cos(tan-l x) = V1+ x² 1+cos u (e) Using…

A: We have to answer following Questions.

Q: sin x cOs x 1 – sin x 2sin x 2 cos x 3 cos x -1

A:

Q: sin 0- cos 0+1_ sin0+1 sin 0+cos0-1 (c) cos e

A: consider LHSLHS=sinθ-cosθ+1sinθ+cosθ-1multiply and divide by cosx LHS=(sinθ-cosθ+1)…

Q: Establish each identity.

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

Q: 1. Verify the identity. Show all steps. sin x tan² x-sin x = tan x (tan x – 1) cos x sin x+cos x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: sin (z+ in terms of sin(x) and cos(r). 4 Rewrite sin + -

A: Topic = Trigonometry

Q: 1-cos(2x) sin²(3x) tan x-sin x Evaluate: a- limr-0* b- lim sin³x

A: (a) Given, Simply fie the above expression, On applying the limit, the solution is in 0/0 format.…

Q: 1+sin(2x) 6) Prove the trigonometric identity = 1+ sec(x) csc(x) sin(2x)

A:

Q: cos(2æ) Select an identity for cos(x) O cos(x) · cot(x) – sin(æ) O csc(x) O cos(x) – sin(æ) · tan(x)…

A:

Q: Establish each identity given in attachment.

A: Given equation: sinθ-cosθ+1sinθ+cosθ-1=sinθ+1cosθ

Q: sin4x sin2x=1/2(cos2x-cos6x). Prove the identity

A: Consider the given identity

Q: identities: 1. sin(3x) = (sin(x))(4(cos(x))² – 1)

A:

Q: establish each identity.

A: Our Aim is to prove sin θ cos θcos2 θ-sin2 θ=tan θ1-tan2 θ -(i)

Q: cos(-x) 1– sin(-x) 4 x It sin x COS x 4 8 csc x 8 sec x -8 csc x -8 sec x

A: Use trignometric ratio and identities:-

Q: 5 sin 0 – 4 cos 0 If 5 tan 0 – 4 = 0, then the value of 5 sin 0 + 4 cos 0

A:

Q: sin (-0) cos² (-0) Establish the identity: cos 0 sin 0 sin (-0) - cos (-ø)

A: Given: sin2-θ-cos2-θsin-θ-cos-θ=cosθ-sinθ

Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

A:

Q: sin5x + sinx Verify the identity. = tan 3x cos 5x + cos.x

A: To verify the identity. sin5x + sinxcos5x + cosx = tan3x

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: sin(X)=3/5, X lies in 1st quadrant. Find cos(X)

A: The value of both sin x and cos x is positive in the first quadrant. Use the identity sin2x+cos2x=1…

Q: 1+ cos x 2. 1 - cos x (csc x+ cot x)2

A: L.H.S :    1+cos x1-cos x               =(1+cos x)(1+cos x)(1-cos x)(1+cos x)               =(1+cos…

Q: sin(cos-(0.7068)) O - 1.2926 O 0.7074 2.7074 -0.2926 1.7074

A:

Q: (sin 0+cos 0)² 3. sin?0-cos20 sin²0-cos²0 (sin 0-cos 0)²

A: (Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: -1 If cot (sin-¹ √√1-x²) = sin (tan¯'(x√6)), x ±0 then the value of x is.......

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Q: . sin 2x cos x+ cos 2 sin x = 12

A:

Q: sin 3x-sin x Prove tan x. cos 3x+cos x

A:

Q: Simplify: sin(-x) 1 – cos(-x 6 x 1 sin x cos x - O None of these -12 csc x -12 sec x 12 csc x

A: Sin(-x)        =-Sin(x) Cos(-x)        =Cos(x) Sin2x+Cos2x=1 cosec(x)       =1/sin(x)

Q: cos(x+π6)+sin(x−π3)=______

A:

Q: Prove the identity. sin + x) + sin - -) =- = cos X We begin on the left side of the equation by…

A: Given sinπ6+x+sinπ6-x=cosx

Q: sin 0-2 sin3 0 1. 2 cos30-cose = tan O 1 2. tan? x(1+ coť x) 1-sin2x 1 3. sec ( 2 cos'x) = 2x2-1

A: we have to prove

Q: sin x = CsC X Prove the identity: cot x + 1+cos x

A: We have to prove given identity.

Q: Prove the identity. sin(x-즉)--cos(x) Use the Subtraction Formula for Sine, and then simplify. sin(x…

A:

Q: sin x+ tan x sin (2x) 5. Determine the non-permissible values of the identity 1+ cos x 2 cos x Cos3x…

A: Solve using properties trigonometric identities

Q: sin 20 tan 0+ sin 0 Prove the identity algebraically for all permissible values of 0 and 2 cos? 0…

A:

Q: sin (x-b) If it is known that sin (b) = - 1, It is equivalent to 1+tan²(x)' O a) cos (x) Ob) – cos…

A: Some of the important identities of trigonometry are as follows:  sin2x+cos2x=1 secx=1cosx…

Q: sin'x + cos'x 75. sin x + cos x 1- sin x cos x

A: We need to show that sin3x+cos3xsinx+cosx=1-sinx·cosx We will take Left Hand side and obtain the…

Q: sin3 (x) + sin(x) cos2(x)

A:

Q: Prove the identities:   csc x – cos x cot x = sin x

A:

Q: 1. Verify the identity. Show all steps. sin x tan? x-sin x = tan x (tan x – 1) cos x sin x+cos x

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Q: 4. lim sin2ß B-0 sin3ß

A:

Q: 1. If tan a = 2 then tan( a) = %3D 2. If sin z 0.1 then sin(- x): %3D 3. If cos a = 0.3 then cos(…

A:

Q: 1- sin 0 Prove that = sec 0 - tan 0 1+ sin e

A: Square on both sides of the given relation We get