If Z = cos () +i sin then Z-Z+1=. .

Q: 4 TT 37. tanα < a < T; cos B = 2' 50 < B < -- %3D 3 2 2

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Q: 2cos'z = COS T Select all correct solutions.

A: Follow the procedure given below.

Q: -1x 54cos If cos -1 00, prove that b. a x² 2xy ,2 = sin C. COS a+ ab %3D 2

A: Introduction :

Q: 1. Evaluate COS dır V1- 2 sin æ (7/6 (a) ( - z)e* dz (b)

A: To evaluate the given definite integrals.

Q: The second derivation of y = cos(2x)

A: Given  y = cos(2x)   ........ (1) We know that  d (cosx)dx= -sinx        ........ (a) and  d sinxdx…

Q: The answer to this equation is y = (1/5)e^x + {(1 – (2/5)sin x – (6/5)cos x}e^–x y" – y = 2e^–x…

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Q: Compute -i + cos -i sin a - sin a + i cos a where a E (T, ).

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Q: 2. I t/Cos X SinX

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Q: Practice by Evaluating 1 VI-x² cos(a² + y³)dydx 0.

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Q: Evaluate cos zV1+ cos². dædy

A: Given double integral is                    T=∫01∫arcsinyπ2 cosx1+cos2x dxdy ⋯⋯⋯⋯⋯⋯ (1)

Q: If z = +i then Im(coshz) A) –sin1sinh4 B) cos1cosh4 e* +e* C) cos1 2 D) sin1cosh4 E) sin1

A: Topic:- hyperbolic function and complex number

Q: 10. 3 J√cos z sin ³ zdz COS

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Q: b. Fltl =(ct)j +(sin.t). .. .人 1..

A: As per our guideline we are supposed to solve only one question you can repost other questions in…

Q: d. y= cos-x

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Q: 3. Find . a. y ( +2r + 10) cos(r)

A: Find the derivatives of the given functions. Use the derivative formulas:…

Q: What is the general solution of (sin 0 – = 0 ? 2rcos? 0) dr + rcose (2rsind + 1) do O sin 0 rcos e =…

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Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -;…

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Q: A certain substitution gives S sin³ x cos" x dx = S(u7 – u5) du. What is n?

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Q: Q2/provethate Cos17 +SinI7 cos17-Sın17 %3Dtun62

A: We have to prove that                               cos17°+sin17°cos17°-sin17°=tan62°

Q: f(1) = u,(1) sin(1)

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Q: 2. The antiderivative of cos Π.Χ. A. -cos 2 B. KIN COS C. sin D. sin π.χ. is

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Q: 0° S (c) Prove that: 2cos 20. cose 2 + 2 tan0. sin0 = %3D cos?e – sin? e cose o AEGW is drawn.

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Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

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Q: On what interval is the solution of the IVP cos e (1+ sin 0) y (0) = 2 - 47 valid?

A: Given IVP is dydθ=1cosθ1+sinθ y0=-12 Now,  dydθ=1cosθ1+sinθ dy=1cosθ1+sinθdθ∫dy=∫1cosθ1+sinθdθ

Q: help!

A: Refer to the question, we need to sketch the provided function.

Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y (π/8) = 0…

A: Given,y(x) = C1 sin2x + C2 cos2x + 1 — (1)Here we find the value of C1 and C2 such that the equation…

Q: 18.) Suppose x = R cos(0) sin($), y = R sin(0) sin($) and z = x² + y? + z? = R²Y R cos(). Verify the…

A: Given

Q: Find LT of (i) e(2 cos 5t – 3 sin 5t) 3t (ii) e²ª cos? t (iii) e* sin 2t cos t

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Q: If sin x = siny = a and cosx = cosy = b, then cos(x-y) is Select one: O a. z2 + a² O b. 2b + 2a O C.…

A: Given  sin x = sin y = acos x = cos y = b Use cos (x-y) formula cos(x-y)=cosx cos y + sinx sinysin…

Q: 3) Solve for r, where 0 <x < 2n. 2 cos r +1=0

A: We have given a trigonometric equation        2cosx + 1 = 0 , where   0≤x&lt;2π. Solve the given…

Q: 5. (D² + 16)y = 24 cos 4x – 32 sin 4x

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Q: 41 cos t dt = 1+ sin?t /2 If q sec e de, then a = b = and q =

A: Solve the integral in the following way:-

Q: (1 + cos 9t) 2 sin 9t dt

A: ∫0π1+cos9t2 sin9t dt Consider, ∫1+cos9t2 sin9t dt Put, 1+cos9t=u⇒0-9sin9t=dudt⇒-9sin9t dt=du⇒sin9t…

Q: cos e de =_ %3D • 2 • -T • 6

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

Q: Determine c, and c2 so that y(x) = c, sin 2x + c2 cos 2x + 1 will satisfy the conditions y () = 0…

A: Consider the function: yx=c1sin 2x+c2cos 2x+1. Calculate c1 and c2. Given yπ8=0 and y'π8=2.   Since…

Q: (3 cos t – 1)i + (2 sin t + 3)j,

A: We sketch the curve as

Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

Q: 2. Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5* (B cos 2x + C…

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Q: V 3 (d) r(1/6 + At) - r(n/6) = 3 COS At sin At cos At + SV3 sin At it

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Q: What is r = -12 2 cos 0-7 sin e 2y - 7x = -12 in Cartesian form? x² + y² = -12 2x-7y

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Q: Given: x = 4 cos 26 and y= 2 sin 26 What is the value of in terms of 6. dz O dy csc 29 dx2 -csc 20 O…

A: The solution is given below:

Q: Cos X 2)

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Q: f(8,t) = cos os(0e*) + cos( + e*) = COS + cos (s+

A: Find partial derivative.

Q: The cos³4 dy is {A}-sin+sin³¹+C 3 4y 4 3 3 {B}sin-sin³¹+ C 3 4 3 (c)-sin-sin³+C {D}sin+sin³+ C

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Q: Hf sin x = A + B cos 2x +C cos 4x, then A = %3D C =

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Q: (a) y" + 3y' – 2y = -e2" (5 cos 2r + 9 sin 2a)

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Q: 2 cos e de 2 V1 – sin 0

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Q: Q: Evaluate : fe 1- cos 2ax dx. 1+ sin 2 ax 2ax

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Q: 22-j is 1. -1+jZ If Z = cos 0 + j(1+ sin 0), show that the magnitude of

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Q: 4e + 6x° + 9 cos z)dr %3D

A: Given