sin'x cos'xdk 3. X COS

Q: sinx 4 COS x cos*. COS x

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: sin (In x dx ecotx

A: Given- ∫sinlnxecotxdx

Q: (sin°(3x) + sin²(3x)) cos(3x) dx

A: We have to find the indefinite integral.

Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

Q: cosx+sinx=cos(2x)  Prove that tanx=-1

A:

Q: 1 dx 1-sinx

A: We will find the integral as following.

Q: | sin* x cos xdx 4 X COS X

A: This question is related to integration.solve as below

Q: =) lim cos 3x sec 7x Xー

A: 1) a) The given function is, limx→π2cos 3x sec 7x. limx→π2cos 3x sec 7x=00 Rewrite the given…

Q: sinr cos (x - y) - cosx sin (x - )

A: As we know that the trigonometric identities: sinA-B=sinAcosB-cosAsinB   Given:…

Q: cotx(secx-cos x)

A: We have to find  cotx (secx - cosx) We know that ,  cotx = cosx/sinx secx = 1/cosx  Then ,

Q: Sinx lim Cos 1-

A:

Q: 1/tanx+secx=cosx/sinx+1  verify

A: We simplify the left-hand side first. Multiplying by (secx-tanx) in numerator and denominator.

Q: Cotx-tanx=cos(2x)/sin(x)cos(x)

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Q: Prove the Identity

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Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: (sinh x + cosh х)*3 еx

A: Solution:-

Q: cotx (1- cos 2x) = sin 2x

A: Formulae used: 2sinx cosx = sin2x cotx = cosxsinx cos2x = 1-sin2x

Q: cos(-x)+sin(x=x) Q4 prove that sinx 2

A:

Q: Prove cos x (1+sinx 1-sinx sin x. 4 1-sinx sinx+1/

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Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

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Q: ∫sin5(6x)cos(6x)dx

A: ∫xn=xn+1n+1+C

Q: Verify the identity.

A:

Q: COs 2x cotx x – tanx %3D sinx · cOsx

A:

Q: cosx tanx In(1+x)

A: Write the power series in sigma notation and in expanded form

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

A:

Q: Sine- -Cos zo

A: Using trignometric property

Q: tanx+secx-1 1+sinx tanx-secxx+1 cosx

A: We have prove trigonometric identities tanx+secx-1tanx-secx+1=1+sinxcosx Left hand side:…

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

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

A:

Q: secx-secx COS x 2+anx sinx-secx

A: Given To simplify sec x -sec x.cos2 x2 tan x - sin x.sec x

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

A:

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: sin4 x cos5 x dx

A: To solve: The integral ∫ sin4xcos5x dx Formula used: cos2x=1-sin2x Power rule of integration:…

Q: Find sin X os X

A:

Q: S(sec; - sin) do

A: We know that integration power rule is  Integration of (xn) = xn+1/n+1.   Here i attached the…

Q: Find the equation of the tangent line to the astroid x = cos° (0), y = sin³ (0) at 0 = 5. (Express…

A: The given equation of the astroid:x=cos3θ and y=sin3θWe need to find the tangent line to the astroid…

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: integral sin2 x cos3 x

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Q: sin 3x cos“ 3xdx

A:

Q: cos x-sinxtanx=

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Q: 1- Sinx fincl y! 1+ Sinx

A: We have to find y' where it is given that y=1-sin x1+sin x Here two function are in ratio so we need…

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: sinx + sin 2 Evaluate | cosx A. -In cos x|– x+ C В. In'secx-x+ C C. -In|sec x|+ x+C D. In sec x|+x+C

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

A:

Q: |- Sin X Cot X Cosx SinX -

A:

Q: secx-11-cos.x sinx secx +1

A: We have to prove

Q: 1 (sinx\1-cosx lim X→0

A: We need to evaluate limx→0sin xx11-cos x Let y = sin xx11-cos x Then log y = 11-cos x log sin x…

Q: d. tion to prove that (cscx) dx = – CSC X COt x. 86. Use the quotient rule and the derivatives of…

A:

Q: التاريخ Sinho SechG)

A: Answer and explanation is given below...