-2n 1 9. Evaluate : de 6+ sine

Q: Determine d34 (cos t) dt34 Choose the correct answer. – sint cos t sin t - cos t

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Q: i. An V21+3n an = 2¬" coS NT

A: We have to check whether given sequence is convergent or divergent. If convergent then find it's…

Q: 2. Evaluate cos 0 sin 0 d0

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Q: Find the value of A. (A-B+C) + (2A + B) sin (2y) - (2B - A) cos (2y) = (4 + j3) − (6-j2) sin² (y)

A: Hint: The given equation is A-B+C)+(2A+Bsin(2y)-(2B-A)cos(2y)=(4+j3)-(6-j2)sin2y. Solve the given…

Q: d²y If x=5+ cos20 and y=3- sin20, what is ? dx² A csc ³20 (в B - cot20 Ⓒ-csc ³20 D cot20

A: Given: x=5+cos2θ and y=3-sin2θ Now, dxdθ=d5+cos2θdθ=-2sin2θ and    dydθ=d3-sin2θdθ=-2cos2θ Now…

Q: Find L {(2 – t) (5 cos 3t – 1)}.

A: Given that: L{(2-t)(5cos3t-1)}

Q: 41. | sin &r cos 5x dr

A: This integral can be done by using the trigonometric formula In the given question a=8x and b=5x…

Q: T (b) fo 6 sin 20 cos² 20 ӨР

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Q: If x = 4 sin 0, then J csc2ede = %3D

A: Here, ⇒x=4sinθ⇒sinθ=x4 By using Pythagoras theorem, We will have remaining side of the triangle…

Q: Let cos A = with A in QII and find V13 sin(2A) = Preview TI Enter your answer as a number (like…

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Q: Q4:B/Simplify Moivre's theorem? [cos 30+ i sin30 15 [cos 0-i sine 1³ [cos 50+ i sin50 ] [cos 20-i…

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Q: = cos(4t + 12)

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Q: 4T 1.) sin 2.) cos 510

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Q: Aprove that t-L sin 21tc) cosect is the answer sf dy +(Eatt) y = sint %3D

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Q: The following are solutions of sin2x+sinx=0 EXCEPT А. 3. B.n D. 3 O A O D

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Q: *T/2 10 cos(0) r dr de

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Q: O Find the anfidanialtiner Sfaw da for fla)= 18 Cos (6x) 16- Sin? (6x) © fa) = ¿* (, +x) 9 + xe

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Q: 8x O B. [5 sin 5x + 8 cos 5x] + C 89

A: The given integral 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: for 0, where 0<0< 2n sin 0 = cos0 %3D

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Q: Q5) chang e the Po lar 2r=2+cos o.(2r-1) to Cartesian

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Q: r/4 1 + sin 0 de cos? 0

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Q: 3 sin 30 cos 0 d0 3

A: Given:         ∫0π3sin3θ cosθ dθ    Use the following identity…

Q: Write the following in amplitude-phase form. / x(t) =5 cos 4t + 5/3 sin 4t Recall that the…

A: Given equation is  x(t)=5cos4t+53sin4t

Q: (A) B (C) (D) **/2 18 [*/ ces **/2 cos²0d0 18 sin²0d0 cos²0d0 0 of the 0 **/2 $ cos²0d0

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Q: find 0 2 Cos ☺ t 2= 3

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Q: r sin ³0 cos³ 8 do 3

A: Topic:- application of integration and trigonometry

Q: r = 17 sin 2t i - 17 cos 2t j

A: Given equation r= 17 sin 2t i- 17 cos 2t  j

Q: Q2) Sketch the following 1) r 3+2rcose 2) r = -20sin(20) 3) r= cos (2e) - sin (20)

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: fo 13. cos (0) – 5 sin (0) d0 COS

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Q: So³ So? (x sin(y) – y cos(x))dædy = 2 COS(x -

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: [/2cos²0do (A) 18 9[*/ cos²0d0 B…

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Q: Evaluate 1- Sin L Cos L do 2- ( sing ecasy Sdt J-t44t-3 3-

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Q: b. sin? () = 2 over [0, 2n) %3D

A: EXPLANATION

Q: /2 sin'e cos'0 de

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Q: r1/V2 2r sin-1 (22) dr

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Q: Show that ea?,2 cos bx da = (VT /2a). a > 0.

A: Given integral is∫0∞e-a2x2cosbxdx=π2ae-b24a2, a&gt;0The integral is derived as shown below

Q: Find the value of A. (A-B+C) + (2A + B) sin (2y) - (2B - A) COS (2y) = (4+j3) (6-j2) sin² (y)

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Q: e. Using your answers from part d, express ( x, + X2). (2x- 4x2), and (x, + x2)( 2x1 4x2) in a…

A: Consider the equation

Q: i. an V21+3n an = 2-" cos NT

A: Series and sequences

Q: de I cos? 0 2

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Q: Determine whether the following statement is true or false. If y = sin¹ (4x4), then = 16x³sin³ (4x4)…

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Q: Evaluating 9-x² dx using trigonometric substitution will lead to: A of th (A) cos²0d0 [*/ cos²0de Ⓒ…

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Q: Find out Cos(A-B)=?

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Q: Solve the following equation for a, where 0 < a < 2n. V3 sin(3a) %3D

A: Solution -    Given value of sin is as -  sin(3α)=-32Here the sin value is negative and the sin…

Q: Evaluating √9-x² dx using trigonometric substitution will lead to: **/2 Ⓒ 18/¹/2 (A) sin²0d0 0 **/2…

A: See the details solution in below

Q: The following are solutions of sin2x+sinx=0 EXCEPT 4л Ą. 27 В.л D 5n 3 3 Ов Ос

A: Given query is to find the option which is not the solution of the expression.

Q: dr Find OP r=4-0° sin 0 dr I3D

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Q: 10 (217 2rx -i cos 11 2r7 Evaluate: (3n +2){E 11

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