(a) 2(cos +i sin 플) (b) 3(cos + i sin E)

Q: | 4 cos e de = -

A:

Q: 1. sin'y (2-3 cos y )dy

A: Given: ∫sin3y(2-3cosy)2dy

Q: Fimk ® y = e* Cos 2x

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Q: cos 5x dx 2. S 3 + sin 5x

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Q: 3π sin°Hcos* () da 5х. F sin ()cos* () . 4 0. 6. 6

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Q: cos 2x he ƒ -dx is 4+sin 2x {A} In|4 + sin 2x| + C {B} In|4 + sin 2x| + C {C}(4+sin 2x)² + C {D} -(4…

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Q: Find sin (0). Cos (0) = 4 Show your work here

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Q: So 3 3 cos y sin y dy

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Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: V3 sin(2r) = - Cos(2r)

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Q: The general solution of y 'tanx sin2y = sin?x + sin?y is

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Q: I Eliminate the arbitrary constants -2x 2X Y = C,e cos 2× + Ge sin 3X

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Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: 38. Differentiate y = 2 cos² - a. – sint b. - sin 2t C. - sin - d. sin-

A: Differentiate y=2cos2t2

Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: y = sin' x- cos 3 – cos' x cos³

A:

Q: 2+7 sin cos z zp-

A: Given: ∫2+7sin3zcos2zdz

Q: 2 + sin x Differentiate Y x + cos

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Q: 3. Explain graphically: cos x dx = 0.

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Q: cos

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Q: Find , where : = sin (a²) cos (y*) O 2.r sin (a²) cos (y²) O 2r sin (x²) 6.x sin (a²) cos (y²) 2x…

A: We have to find partial derivative of z  with respect to x.Given a function of two variables, ƒ ( x,…

Q: 3. Find y' for y = cos(sin² x)

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

Q: 1. § e sin 4x cos 4x dx 2.5 dx Se-2x dx %3D

A: 1) Given:                ∫esin 4x cos 4x dx Apply u-substitution: u=sin 4x⇒du=4 cos 4x dx…

Q: sin 20 d0 J Vcos² 0 + 16 V cos?

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 1. [* sin' y cos' ydy 3

A:

Q: Evaluate the integrals

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

Q: i sin°Hcos* () .3x, sin°cos* dx 10. 3 10

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Q: Se2* (sin x + cos x)dx

A:

Q: f/² () sin cos (sin (²) dx (Consider initially the first 2 terms)

A: To evaluate: ∫0π2sinx3cos4x3sin2x3dx Let I = ∫0π2sinx3cos4x3sin2x3dx We know that  sinxcosy =…

Q: 2 sin(30) cos(30x) dx

A: Given integral is ∫0π2sin30cos30xdx

Q: 2 cos(플x-지) =D v2 TO

A: Given trigonometric equation is:  2 cosπ2x-π=2 We have to solve for x.

Q: 2) Solve for r; 0 < x < 2n. cos r + sin r tan r = 2

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Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

A: The solution for the above question is as shown below.

Q: cos (3x) · (8 sin (3x) – 1) dx = %3D

A: Given that : The integral is ∫ cos ( 3x ) ( 8 sin ( 3x ) - 1) dx  .

Q: Solve for the angle 0 where 0<0< 2n. sin 20 - v2 cos 0 = 0 0 =

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Q: 11. sin(x) + cos(y) = ey

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Q: B sin 5x+ sin 3x 1 sin 5x+-sin 3x+c 6 I 10 fcos 4x cos.x dx = ?

A: Given :∫cosxcos4xdx

Q: cos(2x) dx 2 (sin(2x)+5)*

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Q: . Obtain in two ways the general solution of (r+ sine – cose ) dr+r(sine + cose ) de = 0

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Q: Sz sin?m-10 cos2n-10 = – B(m,n) В (т,п)

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Q: Show that y = sin x, y = cos x, and y = a cos x + b sin x (aand b constants) all satisfy the…

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Q: sin(2a) | cos(2z) dz = (2 + +C 2

A: To find out its true or false take antiderivative of cos(2x)

Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

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

A: Topic  =trigonometry

Q: 3 Cos |X TT 13) y = 3

A: We need to plot the graph of given curve:

Q: y = cos 3x a. 3 sin 3x b. - sin 3x c. sin 3x d. -3 sin 3x с.

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Q: 2 cos e de 2 V1 – sin 0

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Q: Find sin' (2r)dz . - 능 cos"(2z) 글 cos (2x) + - cos (2x) + c Check your variables - y

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Q: y = tan x sin (2x)+cos (2x) 2 y' = A sin (Bx) + Ccos(3x) 3. A = B = C =

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: da (cos ( 3x) sin( 2æ)) dæ

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.