( esch(3 tan z) + sin². 1. cos? r

Q: 3. cos? (z) sin“ (2) dz

A: Given, The integral is,

Q: () V3 е) Cos b) sin'(0) h) tan 13

A: (b) We have to find angle of sin-10. Let θ=sin-10 ⇒sinθ=0 We know that sinx has its value 0 at x=nπ,…

Q: Use the method of substitution to evaluate 2x cos x2 dx. sin x? + c 2 - sin x? + c sin x? + c - sin…

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Q: 12 a. sin b. cos 2 C. tan 2 || || 0IN ON

A: sinθ2=±1-cosθ2cosθ2=±1+cosθ2

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: 1-cos . Fill in the blank: sin(_) = V 2 O 7y

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: 3- Represent in the form of x+ iy a) V8 (cos + i sin m) b) 6 (cos 7 + i sin7)

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Q: 13. Simplify the leftandside so that LHS=RHS sin(b)/cos(b)-1 + sin(b)/cos(b)+1 = -2/tan(b)

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Q: + C,? What should be the value of A so that f A : sin (6x²) dx = - cos(5x-) %3D 4 A. x С. Зх В. 2х…

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Q: Find A°, where (cos(7/5) -sin(T/5)) A = sin(T/5) cos(T/5)

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Q: coso dz+ (2Z o)do= o sin © - Cos

A: Use exactness formula to check and then solve

Q: 5. " cos (w) sin* (;w) dw -2n

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Apply Newton’s approx. to find the value of x for cos x = sin x; x0 = 1.

A: Topic-  Numerical Analysis. Newton's approximation Formula: xn+1 = xn - f ( xn)f' (xn)

Q: What is (sin(x))? How about (cos(x))? d17 d42 dx 42 COS(x 1

A: To determine:                           d17dx17sinx: Now, We know that the 'derivative of sin x  is…

Q: 7 sin(2t) + 4 cos(t) = 0 %3D

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Q: Determine the exact value of sin(x y) given the information below: <x < TT, <y< 2T, cosx = - -<y<2T,…

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Q: 2x, given tan x= 2 and cos x is less than 0

A: Given tan x = 2 and cos x &lt; 0.

Q: Evaluate: * cos² 2. * x cos? x dx sin

A: Given: ∫cos2xsin4xdx

Q: 4. Describe a way of evaluating x cos? x dx. sin' х. х со

A: We will use the reduction formula,  to solve this integral. where n ≥  is an integer. Now., we…

Q: 1- cos4x sin?xcos?x %3D 8

A: some formulas: 2sinxcosx=sin2x1-2sin2x=cos2x2cos2x-1=cos2x Given expression is: sin2xcos2x Multiply…

Q: Evaluate va 3 cos a sin x dx. + C

A: To find: The value of integral ∫cosxsin3xdx. Formula used: The trigonometric relation is…

Q: 3. Express the following function in terms of 'Sine & Cosine'; y (t) = 4 sin 2nt + 15 cos 2nt [

A: please see the next step for solution

Q: Rewrite cos x+ in terms of sin(x) and cos(z). 4

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Q: I co cos (In x) dr

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Q: Find the angle 0 between T and such that sin(0) = 2 V3 - 2

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Q: The area of the region that lies inside r = sin0 and outside r=1 cos60 is given by:

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Q: Why does eix=cos cos x + i sin sin x ?

A: To prove , or justify the identity exp(ix)= cosx+isinx

Q: f(?) = (? − cos(?)) sin(?)

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Q: from Evaluate cos r sin x dr.

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Q: sin(x ) Evaluate: [ - dx 2 x cos 4

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Q: Find fo, fe fe if fp.0,4) p cos sin 0 %3D

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Q: The smallest positive number for which sin(t) - cos(2t) = 0 is t =

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Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

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Q: Question 4 in picture

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Q: Evaluate: " sin" () cos* () .4 CoS 2, dx .2.

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Q: Evaluate 3 cos z sin" e dz.

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Q: 5) coS I sin rdr

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Q: find dr/ ds r cos 2s + sin2 s = π

A: It is given that,r cos2s+sin2s=πWe have to find drds

Q: 2 Convert r = to rectangular form. 7 sin 0 COS

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Q: 5. Evaluate 1. , sin(x?) dx

A: #1 intregal

Q: find dp/ dq. sin q + cos q = cos q

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Q: (a) cos(α + β)  (b)  sin(2α)

A: The objective is to find  (a)cos(α + β)  (b)  sin(2α)

Q: sin 2x dx 1+ cos? x

A: Given : ∫sin2x1+cos2xdx

Q: 2 and t is in the 2nd quadrant, then 6 If sint = i) tant = ii) sec t

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Q: 2. If sin a =,0<a< 3. 2V5 ,where <B < 2n 3 . cos ß = Determine the value of a. sin(a + B)%3D b.…

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Q: Cos x [SND] If y = tan x+ seç show that, y = (1 – sin æ)?

A: Topic  =trigonometry

Q: derivation is required

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Q: (11). - cos?(2y) sin? (x), y(등) =0 Workings y= tan '(z - 글sin 2v) +

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Q: 3 Evaluate COs x sin æ dx. sin*(x) X + C

A: