|- Sin X Cot X Cosx SinX -

Q: Verify (tan x + cot x)(cos x + sin x) = cscx + sec x sin* x – cos“ x = sin? x - cos? x

A: Given that prove tanx+cotxsinx+cosx=cscx+secx   And sin4x-cos4x=sin2x-cos2x

Q: -83° sin (2x) cot (x) dx 370 csc (x)

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Q: f(x) = cos* (tan*(sin²(x³)))

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Q: Verify the identity:csc x - cos x cot x = sin x.

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Q: - csc x sin x + cot² x

A: Given that  csc(x)sin(x)+cot2(x)

Q: 3 sin x + 4 cos x +5**

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Q: 1- sin x 1. = sec x-tan x COS X

A: Topic- trigonometry

Q: 12 sinx Cos X=

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Q: TU (sin³ x)√1 + cos x dx EN

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Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A: Given: It is given that the limit is limx→0tan27xcot11xx+72sin x. To find: The main aim is to find…

Q: tan x+ cot x) dx

A: Recall trigonometric identities, Substituting the values in above equation, we get

Q: verify the identity: sin(x+y) + sin(x-y)         = tanx cos(x+y)+cos(x-y)

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Q: Simplify: cosx sec x – cos² x O cos² x sec x sin x

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Q: 2. tan x csc x + cot x sin x = sec x + cos x

A: As you mentioned question no 2 solved

Q: Differentiate  (sin(x+a)/cosx)

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Q: 9. Evaluate sin x dx a) S, 1+sin x b) S sec x tan x- csc²x *dx secx + cotx

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Q: Evaluate f (2 cos x-sin x)² sin x

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Q: Verify the identity.

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Q: sin(-æ) = - %3D V2 tan(x) = – %3D cos(x) csc(x) cot(x)

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Q: Verify the identity.

A: To prove - cotx2 = 1+cosxsinxConsidering R.H.S - R.H.S = 1+cosxsinxR.H.S = 2cos2x22sinx2cosx2…

Q: 1- Sin'x = cos1-x?

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Q: Evaluate (tan x cos x) dx А. cos x + C cos x + C - С. - sin x + C D. sin x + C B.

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Q: HW/Prove that: . (1) tanx=cot! tan"x= cot-1 (2) sin x = csc -11. (3) sin (sin x) = x

A: We have to prove the identities 1. tan-1x=cot-11x2. sin-1x=csc-11x3. sin-1sinx=x

Q: integrate (sin(x)*tan(x)-cos(x))/tan (x+1)

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Q: Evaluate sin x a) S 1+sin x sec x tan x- csc²x b) S sec x + cotx

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Q: sin x cot x (1 – COs x Prove - (sec x+1)

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

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

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Q: 4 cot x = cot x Sin 2 X

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Q: Prove that (csc(x)) = -csc(x) cot(x). dx 1 d -(csc(x)) d dx )(0) – - 1 sin2(x) sin?(x) 1 sin(x)…

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Q: 3) f(x) = cos5 (tan (sin²(x*))) ||

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Q: Find sin X os X

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Q: ≤ Lºin( Verify that f(x) = sin() is an odd function and use that fact to show that 0 < sin(√√x) dx ≤…

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Q: (1 – sin x)(1 + cscx) = cos x * cot x

A: (1-sinx)(1+cscx) 1+ cscx - sinx - 1 cscx - sinx 1/sinx - sinx 1 - sin^2x/sinx  cos^2x/ sinx…

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

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Q: 5 sec(x) − 5 cos(x) = 5 sin(x) tan(x)

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Q: 1 sec x – tan x sin x = %3D secx

A: Consider, secx-tanx sinx=1cosx-sinxcosx·sinx=1cosx-sin2xcosx=1-sin2xcosx=cos2xcosx…

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: Verify the identity: csc x - cos x cot x = sin x.

A: Given identity, cscx-cosxcotx=sinx

Q: x? sin° (x³) cos³ (x³) dx cot3 -x ) csc³ dx X- 2 | (3 – 2 tan? 5x) sec2 5x dx

A: We will solve the following

Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: - Simplify: sin(x)tan(x)=1- 1-cos²(x) cos (x)

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Q: (1+ cos x)(cscx- cot x) =

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Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: cosx-sin² x cot2 x· secx - 1 = sin? x

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.