sin (x) = -0.9. If x and y are complementary, what is cos (y)? %3D Sub

Q: Find the solution of the equation cos y ay? which tends to zero as x → 0o and has the value cos y…

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Q: 2. cos?x dx =x+ sin 2x + C X_SO

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Q: x-1/2c (4) y = x sinh 2x – cosh 2x

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Q: 1. Find the value of A between 270° and 360° if 2sin²A – sin A = 1 |

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Q: Question 4 Find the solution of the D.E. below: x cos? ydx+ tan ydy = 0 A y2+ (tanx) 2=c B x2+…

A: We will use separation of variables technique to solve the problem.

Q: TT sin 0 – cos 0 2 19. у 21. y = x² – cos x

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Q: d. cos 3x = 0 %3D e. tan 4x - 1 = 0

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Q: If y = sin (m sin^-1(x)), find the value of yn(0).

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Q: sin x – e-* = 0, [0,1]

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Q: G- tanx) ydx + Inlexy cos x| dy = 0

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Q: S (1) Find the general solution of the equation IC sin x+ 6. 2 cos x %3D

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Q: 11. sin(4x) dx e 0.

A: Given: To evaluate:   The given integral.

Q: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

Q: (-tanx) ydx + Inlexy cos x| dy = 0

A: We need to find out the general solution of the given differential equation.

Q: (c) y= sv1– s-1 + cos¯'(s)

A: To find the derivative of the given function

Q: 15. For fe' cos x dx, what is du? cos x e' dx - sin x dx G(e* cos x + e" sin x) + C

A: The given question can be solved as shown in step2.

Q: Suppose A is the annihilator of y= e*sin(x) – 3cosh(x), if f(x) = A(sin(x)), determine the value of…

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Q: xcosx dc + Cos x da 2.

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Q: L-1 (s² + a²y² (sin at + at cos at] 2a

A: Some of the properties of the inverse Laplace transform L-1aF(s)+bG(s)=aL-1F(s)+bL-1G(s)…

Q: 3) Find the value of cos(6x) dx.

A: Recall: ∫cosax dx=sinaxa+C

Q: 3- If a y + sin y + arctan a = sin 1 then what is the value of at (0,1)? dz -2 b)- 1+ cos 1 -1 1 a)…

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Q: Differentiate: y = cos(5 e* ) e11 COS

A: Ans is. option a)

Q: ) Let Sin x = -12 13 X in quadrant II , and siny=21 Y in quadrant I. Find al Sin (x +y) b) Cos (x-Y)…

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Q: 6. Find * : y- + 5)ao TK, (b) y = Sin 5x I+cos 5x dx

A: Solving the problem by finding the derivative.

Q: cos° (2t) 23. sin (2t) dt

A: Use the formula sin2x+cos2x =1.

Q: exp (еҳp(-in)) cos TT - i sin T 0.3679 - exp(cos t - i sin Tt) -0.3679

A: solution of the given problem is below...

Q: = -1, find the value of can 0-1 sin 0 – 3cos e sin 0 + cos 0

A: Given thattanθtanθ-1=-1Sotanθ=-1(tanθ-1)tanθ=-tanθ+12tanθ=1tanθ=12

Q: 1 and y' CO)

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Q: the solution to the given equa y" + y' – 2y = cos(x) – 3 sin(: -

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

Q: Find the value of Sin-1x + Cos-1x where x e [-1,1] В. п c. А. 1 D. 0

A: Since we are given with multiple number of questions and our guideline is solve the first question…

Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

Q: Solve the following trigonometric equation for 0 ≤ x ≤ 2π. Explain your process.  cos 2 x −  1 = 0

A: For the solution of the problem follow the next step.

Q: Yp = A1 cos 2t + A2 sin 2t Which of the following is Yp"?

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Q: 6. S sin*(e³*) cos(e³*) e³× dx

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Q: 2. Write the equation of the function in the form of y a sin b(x-c) +d,a> 0, and in the form y = a…

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Q: | cos 2a + sin 2x dr

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Q: 3. Calculate L {e=# cos(2t – 7)} COS

A: Given function is as below :

Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

Q: 10. cos (1/) dx

A: We have to evaluate the indefinte integral as shown below:

Q: 3a. cos πx sin πχ dx

A: We need to integrate the given expression. ( As per our policy, we can solve 1 question at a time.…

Q: 1. (a) Find sin 6x+ cos 4x dx. (b) Evaluate dx. Hence, solve dx. (e' +2) (e'+2)

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

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

Q: Show that y = e²(cos x + sin x) is a solution to the equation

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Q: cos x 6) dx is equal to sin x A. In/2 В. Inv3 C. In" D. In e

A: The  given integral is ∫π4π2cosxsinxdx

Q: 7/2 d sin dx dx COS

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Q: 1 find the value of so that ky"=-1 at y= For cos x- sin y=- O V3 2 4 4

A: Solution:-