(cos x-1)(1+cos(-x))=-sin' x

Q: 1+sin 2 x 1) Find the derivative of f(x): 2 cos3 x

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: cOs x tan x 28) lim sin 3x 29) lim x→0 2x x3 + 2x2 + x 30) lim x→-1 x4 + x3 + 2x + 2 x3 – 2x2 + 4x –…

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Q: 3. cos x +sin x- cos(2x) sin(2x), cos(3x), 4 8. ...

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Q: 4 cos 4 cos dx () х3 sin3 4 - у4 - х dx

A: (1) using integration by substitution∫4 cos1x2x3 sin31x2 dxlet   sin1x2=udifferentiate both…

Q: 11. cos4x-cos2 dx sin4x-cos2x

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Q: 1 sec- x = cos

A: Given, sec-1x=cos-11x   Check it is True or False:

Q: 2 cos(8x) – 8 x² – 2 lim - sin(3x) — 2? — За

A: Here we apply l Hopital's rule.

Q: 2-sec2x: COS2X = COS X

A: Given query is to verify the identity

Q: cos(x) / 16 - sin2(x) dx

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Q: Prove the Identity

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Q: 43. Use the identity cos 2x = cos x cos x - sin x sin x to find the derivative of cos 2.x. Express…

A: cos2x=cosxcosx-sinxsinx find the derivative of cos2x So here use product rule and then find…

Q: sin (2.x) cos (3x) dx

A: Integration:

Q: 7x cos()-7x [sin(-2x)sin(5x)sin(7x)] – lim 2x cos(x) lim x-0 5x?

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Q: 3 cos(x) sin(4x) 3. lim x→0 2x

A: Solution:

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: The complex form of integral can be converted to simple integral using integration by substitution…

Q: 1. f(cos 3x - x²) (sin 3x- x³)5 dx 2. f cos² x (tan x) (sec² x − 1) dx 3. f tan x (sec² x - 1)(sec²…

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Q: elin (sin x+ cos x) dx 1. S ecosx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 1+sin 2 x 1) Find the derivative of f(x) 2 cos3 x

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Q: 1-sin' x 3D sin.x 6. cosxcotx

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Q: 1-cos 2x sin² x limx-0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: x2 sin x+2x cos x f'(x) = cos²x

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Q: Find integral.

A: To find the integral  I = ∫sin10x cos x dx

Q: lim (x approaches 0) of [sin(5x)cos(6x)]/(x)

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Q: cos x sin x = csc 2x cos 3x sec 2x

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Q: 1-Cos 2x 1+ Cos 2x ix) tan x=

A: Prove :

Q: 1- COs x lim x→0 3x sin x

A: This question is based on limits.

Q: sin2x -dp- cos x+cos*x-2cos?x

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Q: 1-sin x dx 1-cos x 2

A: Introduction :

Q: F CSC'x + - cos2x -cos^x -sec'x

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Q: 1-cos2.x sin 2.x : tanx

A: Given- 1-cos2xsin2x : tanx To Simplify- The above expression. Formula Used- cos2x=1-2sin2x and…

Q: of sin (4) sin³2 x sin 2x dx

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Q: ∫ cos (ln(x)) dx

A: Given-∫cos(ln(x))dx =∫xcos(ln x).1xdxLet u =x      and      dv= cos( ln x )1xdx  So,du=dx      and…

Q: 1+ cos x sin x 7. Verify: ¹ 11 csc x + cotx

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Q: Find sine half range for f(x) = \cos xl for -1<x<1 COSX for 7 < x < 0. f(x) for 0<x< 7. COSX

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Q: 3) (sinx + cos x)² = sin 2x + 1 COS %3D

A: We have to prove that  (Sinx+cosx)^2=sin(2x)+1

Q: 1+ cosx + sinx sinx 1+cos X 2sec x 2csc x 2csc 2x 2sec 2x

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Q: cos x-sinxtanx=

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Q: Find x where 0 ≤ x ≤ 2π. cos x - tan²x = 1

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Q: 2 1+ cos x = 2 csc x-1 2. sinx

A: topic- trigonometric ratios

Q: cos 2x-sin x 4. -(tan x +secx) %3D sin 2x - cos x

A: Given: prove that cos2x-sinxsin2x-cosx=-tanx+secx For verifying given expression, we solve left hand…

Q: (1- cos.x)? cosx) limx-0 x sin(x2)

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Q: 1+ cosx + sinx sinx 1+cos x 2sec x 2csc x 2csc 2x 2sec 2x X.

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Q: 1. lim sin x sin 2x x-0 1-cos x 3x+x+2 . lim X-4x3+8x+1

A: d) To evaluate                       limx→0 sin x sin 2x1- cos x                            =sin (0)…

Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

Q: Find x where 0 ≤ x ≤ 2π. cos²x - cos x - 2 = 0

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