2 + sin x Differentiate Y x + cos

Q: verify that cos(x+y)/cos(x-y) is = 1-tanxtany/1+tanxtany please show steps

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Q: Differentiate. f(0) = 0 cos(0) sin(0)

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Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c…

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx…

Q: he interval [0,2r) cos (x) sin (x) = 2 cos (x)

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Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

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Q: Verify sin (x +) = cos(n – x) %3D

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

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Q: (cose+ tane) de / (sece + tan@sec2e) de cos e COS True (B) False

A: We have to find out

Q: Verify the identity: (sin x - sin y)/(cos x - cos y) = -cot (x+y)/2

A: sinx-sinycosx-cosy=2cosx+y2sinx-y2-2sinx+y2sinx-y2=-cosx+y2sinx+y2=-cotx+y2…

Q: CoS 2X sin x,co

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Q: The simplified form of [csc(-x) +cos(-x)] - [10 sin² r sec²z]

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

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Q: coS X sccr+ tan x 1- sinx

A: given,        cosx1-sinx=secx+tanx

Q: cos(x + y) cosx siny = coty – tanx

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Q: snip

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Q: 3 3 | sin sin x cos xdx 5

A: It is integration problem.

Q: Differentiate.  y =cos x /(1 - sin x)

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Q: Verify the identity. sin(x + y) – sin (x - y) = 2cos.xsiny

A: To verify the identity, sinx+y-sinx-y=2cosxsiny

Q: sin(x+y) Verify that (sec x cos y + sin y csc x) %3D sin(2x)

A: Prove that sin(x+y) /sin2x?

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

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Q: 1. sin²(esin*r) + cos-(2t³ – 5)

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Q: cos(etan 3x) y cos

A: The given function y=cosetan3x

Q: Verify

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Q: Find x where 0 ≤ x ≤ 2π. 4 cot²x = cos²x + sin²x - 1

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Q: cos(2x)– cosx sin x 4. lim, »o

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Q: sin (2x) b. cos(2x)+ 1 = tan (x)

A: Prove

Q: sin 2ø tan² ß do + (sec² ß – 1) cos p dß = 0 B = 2 sin o + c %3D o p = 2 sec² B %3D

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Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

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Q: (cos(3x) sin(x) – sin(3æ) cos(x)) da

A: In the given question we need to evaluate the integral- ∫cos3xsin(x)-sin(3x)cos(x)dx , which can be…

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

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Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: sin z sin- is equal to 2

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Q: šx<2a . dation where 1 1. sin x = 2 2. 3tanx-1=0 3. 2cosx=cosx

A: We will find the values.

Q: 5) Period of y= 2 cos x %3D

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Q: sec x-1 sin x %3D secx+1 1+cos x

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Q: sin'x cos'xdk 3. X COS

A: It is given that, ∫sin2xcos3x dx We have to solve it.

Q: 1 1. sec-1 x = cos-1 = cos

A: we have to show that the given relation.

Q: 2 sin 1 3 -1 cos tan 4

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

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Q: Solve y' = y3 cos x (Show clear work!)

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Q: 3. sin(3x) = (sin(x))(3 – 4(sin(x))²) %3D

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

A: Use substitution method

Q: 3. y³x2 – cos- sin x² + esin x = 1 y DIFFERENTIATE THE GIVEN

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Q: cos 2x 17. cos x-sin x

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

Q: QI\ Differentiate the following (choose two only) 1)2xsin-13x x+1 2)y = In- X-2 3)y = sin-12x

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Q: Find sin (x/2) cos(x/2) tan(x/2)

A: Given information is :

Q: stion Three: If y = sin(x) – sin³ (x). show that y' = cos³(x).

A: We will differentiate the function and use the identity : 1 - sin²(x) = cos²(x)

Q: Differentiate. y = 3x2 cos x cot x y' = 6x cos (x)cot(x) + 3x2.-sin(x)cot(x)· csc2(x)

A: