Prove the following 2 tan 0 a sin 20 1+ tan? 0 2cos' x-cos x b cot xe sin x - 2 sin' x

Q: sin 2x Verify 1+ cos 2x = tan x.

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Q: 4. cos*x Evaluate: sin' x( sin' 3/5 x+ cos³ x 3.

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Q: sec 0 tan 0 Establish the identity = sin 0 1+ tan? 0

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Q: sin(x-y) sin(x+y) tan x-tan y tan x+tan y ||

A: The given statement is: sin(x-y)sin(x+y)=tan x-tan ytan x+tan y

Q: prove tany csc3-tanX =cos x CSCX Sinx tanx tcosX-

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Q: Prove sin 2x cot x (1 - cos 2x)

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Q: sin 0+ sin 0 tan 0 = tan 0 - sece

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Q: V3 Tan" (-V3) Cos"(-1) 3. Sin 2 1. 2.

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Q: 1. cos x 1 - sin x = sec x + tan x

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Q: sin' t – cos' t Prove tan?t – 1 cos? t

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Q: 11 0<a< 61 sin a= 2 Part 1 of 3 (a) sin Part 2 of 3 a (Б) cos 2 Part 3 of 3 a (c) tan %3D

A: Calculate the valuer for angle α using the inverse of the sine function. sin…

Q: Let x= 2 tan theta, 0 less than or equal to theta < pi/2  simplify the expression  1/x^2…

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Q: w/N Find sin2x and cos2x given cot x x in QIII.

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Q: Prore each of the following identities: (ii) (1+cot 0)sin 0 1 1 (1) (1-cos 0)cosec o=1 rie-1)cot 0 1…

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

Q: simplify tan(x) 2 sin(5) x - sin(4) x cos(5) x cos(4) x + sin(x)

A: Please find the solution image in explanation section.Explanation:

Q: sin 4x cos 3x sin 2x tan 3z dx

A: (NOTE- Since it seems to be a typo mistake so, assuming that in the given integral all the variables…

Q: sin x Verify: cot x + = csc x 1+cos x

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Q: Prove tan x + cos x = sin x (sec x + cot x).

A: We have to prove the identity: tan x+cos x=sin x sec x+cot x We know the relation between…

Q: cos 0 1-tan 0 1-cot0 sine 4. Show that = sin 0+cos 0

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Q: tan? x – cot2x = sec2 x – csc? x - tanx-sinx = 1- cosx tanx

A: To prove :- 5.tan2(x) - cot2(x) = sec2(x) -csc2(x)  6. (tan(x) -sin(x))/tan(x) =1-cos(x)

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: da (cos x tan z) =

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Q: 6) Verify tan x + cot x = sin(2x)

A: Simplification

Q: 1 - cos2 x/sin x

A: To simplify the expression.