5 35 sin? 0 cos50 de -2 S(x e* – tan x)dx -3

Q: (1–tan? x) = cos x on the domain 0 < x < 2T. Solve (1+tan? z) 27 O T, 3 п, 품, 뚱, 47 3 27 O , , 2ㅠ 57…

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Q: 2. Find the value of e a. 2 sin2 0 - sin 0 - 1 = 0

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Q: 3 7 cos z Evaluate the definite integral: dæ sin x 6.

A: Evaluate the Definite Integral : ∫π6π37cosxsinxdx

Q: 3 cos (x) sin (x) dx = %3D 2 15 O None 6

A: To find the value of given ∫0π23cos2xsin3xdx

Q: 7) y=Flx)=cos" (x) A.) xCcoskl) =4 Cos? (x) %ax (coscx) =4 cas? (x) (-sin(x). 4 Cos (x)Sin(x) %3D…

A: Explanation of the answer is as follows

Q: 5. Find the solutions to sin x tan x = sin x on 0<x<360° 6. Find all the solutions to 2cos(2x)–1=0…

A: Use the values of trigonometric values of some pre defined angles.

Q: 3 T 3. Find the exact value of sin 8. 1 + cos 0 - cos e 1 = + cos = ± sin cos O tan 1 + cos 0

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Q: 14. x" + y = -101 sin(10t) ; y " + x = 101 sin(10t) ; x(0) = 0, x ' (0) = 6, y(0) = 8, y' (0) = -6

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Q: /2 S cos (x) sin (æ) da = COS 0. 6. 15 15 O None O 15 2 45 2

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Q: 36. (a) Prove the reduction formula 1 cos"-'x sin x + п S cos"x dx = | cos"-2x dx n n (b) Use part…

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Q: ₂00 (-1)* 2k+1 How were sin(x) = Σ₂ k=0 (2k+1)!* ¹ values generated from the Σ(x)"equation? n! n=0

A: Differentiating again and again then find the recurrence relation of the nth derivative at 0.

Q: 7 31) S dx + 6x + 25 A) sin-15 sin B) tan- tan-1 2 1 tan- 1 tan-1 D) I tan 4 1 -1 C) 2 4

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Q: S sin(1 – x) (2 – cos(1 – x))* dx A (2-sin(1-x)5 (2-sin(1-x)5 +C +C D (2-cos(1–x)5 +C (2-cos(1–x)5 +…

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Q: 13. sin? 4x cos² 2x dx T/2 14. S sin? x cos³ x dx

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Q: 7. y = cos`x sin'x %3D 3 A. – 4 cos x sin x B. – 2 sin sin 2x 3 2 C.- 4 cos´x + sin' D.- 2 sinx cos…

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Q: 17. Given 0 ≤ 0 ≤ 21, solve tan'e sine tan'e = 0

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Q: 1. S 2x sin-1 x² dx. 2. S sin² 20 cos³ 20 d0. 3. S sec? x dx V1-tan?x

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2- Find the Root of the function F(x) = e*(3.2 sin(x) - 0.5 cos(x)) Using XL=3 , X,=4 , ɛs = 0.002

A: Let f(x)=e-x(3.2sin(x)-0.5cos(x))…

Q: CoS cos³ 0 5./ d0 1-sin0

A: Given problem:- ∫cos3(θ)/(1-sin(θ)) dθ

Q: ー49 a+ 22ト7 40 +3)Y-(sin 32) (Cos 2) +e

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Q: 22. If y = (1- sin?x)i then y" is b. 1 COS X 2° а. C. - cos x d. -sin x sin x HIN HIN

A: The second derivative of the given function is solved in detail below.

Q: tan x.cos xr =D1 (p) X UIS sin? 0+sin? 0. tan? 0 = tan? 0 (1) 2 %3D 1- cos 0 cos? 0 + 2 cos 0+1 1+…

A: Since you have posted multiple subparts we solve first three subparts  for you To get the solution…

Q: 2ä + 2i + x =1 with x(0) = 0 and ¿(0) = 2 Answer: x(t) = 1+ 3e-0.5t sin 0.5t – e-0.5t cos 0.5t

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Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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Q: -37 :5³T sin³ (1) cos³ (1) dx 0 6

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Q: 1.4 = 0.9062 x Cos (1-√³x) dx = 0-6034 How?

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Q: 3. sin(x+5) = -0.25 xE [-7,15] (answers to 3 decimal places)

A: The given question can be solved as shown in step 2.

Q: 7/2 #1. cos'x dx | tan*e sec*o de #2. S tan'r sec'r de #3.

A: As per guidelines we are supposed to do only first three questions of a multiple question. To get…

Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9 x) - os Select one: True O False

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Q: 2- Find the Root of the function F(x) = e*(3.2 sin(x) - 0.5 cos(x)) Using XL=3 , X,=4 , Ɛs= 0.002

A: This is to be solved by successive bisection method.

Q: Зл ,2n) then tg 2 1 If α te( V1- cos“(a – n) + a)+ = 0. 3n – 2a sin(5n + a) 1- sin 2

A: We have to prove the trigonometric equation.

Q: Evaluate the integrals

A: Since, our aim is to evaluate ∫0π2 5(sin x)32 cos x dx.

Q: 10. Solve algebraically for 0 <x < 2n . 2 cos? x - sin x=-1 a. b. %3D

A: We have to find solutions

Q: 0ダーツー ゴリ=37%+ e ジャンー のジュリ= cosy cos (x) +38in2x

A: We are entitled to answer one question from the multipart. Please resubmit the question which you…

Q: 1 +2s+5 e* cos 2t 1 sin 2t 2e' sin 4t e* sin 2t

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Q: cos (1/x) dx ∞ o COS 21. 12

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Q: (1/2 sin e cos 1 (cos a cosec 8) de (1-cos a ||

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Q: 72 In x i. x(7ln a +1) – sin x - ii. xp: cos? x – 2 V6 cos x Cos2 - -

A: Integration

Q: 1. S" cos? (2t) dt u-sub = 2. S sin5 0 cos* 0 d0 power on sin is 'odd'

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Q: 4. Use Gamma function to evaluate the integral: sin? (40) cos (20)d0.

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

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Q: 10. If y = sin 2x + cos 2x, then (yn)o is equal to nn a) (-1)"2" b) 2" c) sin+ cos d) None of these

A: The solution is given as

Q: 4. 4sin(x)cos(x)+2 cos(x)-2 sin(x)-1=0 -13D0

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Q: 95х 3 5X dx b° sin CoS 6

A: The given integral is ∫03π5sin95x6cos35x6dx

Q: 1.) Find all solutions of the equation on the interval 0<x< 360°. a) 9 cos x +2 = 0 b) tan? x = - V3…

A: The values of trigonometric functions are repetitive after a fixed interval for every trigonometric…

Q: Number 13 part C please :)

A: The given trigonometric equation is

Q: 4) (r+sin 0 – cos 0) dr +r (sin 0 + cos 0 ) d0 = 0

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: A s(1) = e-7" sin(8 1) () = e" sin(3 1) © s(1) = e3 sin(7 1) Os() = e-5 cos(71) D

A: