won of cos 0) dr + r (sin 6 + cos 0) rsine rcose = C O r + rsine rcose = C 5 + rsine rcose = C r2 + 2 cos e 2 sin e=C

Q: 24 cos 4x – 32 sin 4x а. (с, + 4x) сos 4x + (c, + 3х) sin 4x b. c,e2x + C2e 3x + 3 sin x C. none of…

A: follow the next step

Q: 9 If f(0) = cos 0, ·cos 02· cos 03 ... cos 0n .... .·. f' (0) f (e) Show, {tan 01 + tan 02 + tan 03…

A: Given that we have to prove where

Q: v(x) = 4 cos(sin(3.x)) Select the correct response: -12 cos(3x) sin(sin(3 o -12 sin(3x) cos (3.x) o…

A: Using the chain  rule to calculate the derivative of the function.

Q: (cos 0, sin 0) TO 90° 2 /3 2 2 (0,1)1 (글을) (号号) (을) /3 2 2 2 /2 (을을) 2n 120°, 3 60°, 3 45.A TC 135°,…

A:

Q: 1. Determine solutions to sin 2x = , x€ [0, 2x) 2x sin() 2x 0.73 %3D %3D accurate to 2 decimal…

A: Explained below

Q: 3. * S cos(3z)sin1º(3z) dz A 1 C (sin(3z))10 + C 3 (cos (3z))10 + C - -- В 1 (cos (3z))'1 + C 33 1…

A:

Q: (a) Show that z" + z=" = 2 cosn0. (b) Hence show that 32 cos5 0 = A cos 50 + B cos 30 + C cos 0…

A: Given:- Let z= cosθ+ i sinθ

Q: A B O A OB O OD 1 13 (sin(3z))¹⁰ + C 1 33 ſ cos(3z)sin¹⁰(3z) dz 1 3 (cos (3z))¹¹ + C F None of the…

A: Here we have to find the integral.

Q: 3. у %3D In(5 — е**) 4. x = et (cos 2t + 2 sin 2t)

A: Now the first given function is ln5-e4x The second given function is x=etcos2t+2sin2t To find the…

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: 9. Find 14 values of S and R obtained from the difference equations: Sk41 = R, (1/cos(0.3S, )) %3D…

A: So this question is to be solved using Matlab code: I will share the input and output for this…

Q: +√√² cas² S 4 cos²20 de is One of the correct steps to evaluate @ 1²00-1/²160²20 4 de- A sin²20d0 Ⓒ…

A:

Q: sin³ (cos(4) dx 2 32 Ⓒcos A COS 35 32 B 35 32 Ⓒ-3 cos (4) C 32 D 3/7/7 C (4)[-5cos (4)+7] 5³ (4)…

A:

Q: 7. d. cos 0 cos 20 + sin 0 sin 20 = V3 over 0, 2t)

A: We know the sum identities: sin(a+b) = sina.cosb + cosa.sinb sin(a-b) = sina.cosb – cosa.sinb…

Q: |5x sinx dr = - 5x cosx +5 sinx +c OA. 5x cosr +5 sinr +c В. None 5x cosr - 5 sinx +c OD.

A:

Q: 9 If f(0) = cos 0 · cos 02 cos 03 ....... cos 0n %3D f'() + tan 0,}=- f (8)] Show, {tan 0, + tan 02…

A: Introduction :

Q: 4 sin(x) cos(z) + 2 sin(z) – 2cos(z) – 1 = 0

A:

Q: 9 sin sin 2O° =Y 1o) cos cos 70 = a4 24 1)Sin Sin 7o = X 24 12) cos cos 20 = _ x %3D 24 24 20

A:

Q: 4. (a) Express 3cos x-4 sin x in the form R cos(x+ a) where R>0 and 0 <a < (b) Hence find the…

A:

Q: St' sin(2t*)dt (sin(2t*) - 2t*cos (2t*)) + C (sin(2t*)-2t cos (2r*)) +C 14 1 (sin(2t*)-2t cos (2t*))…

A:

Q: A 2sin(/x)-2/xcos(/x)+ C B) None of the given Choices © 2/x sin(x)-2cos(x)+ C 2sin(/x) +2/xcos(/x)+C…

A: We will find the integral.

Q: Hi, there are two questions a) and b) attached  Thanks so Much!!!!

A: (a)consider the given complex number:

Q: 1) z = 6| cos 3T +i sin 2 +i sin 6 W = 12] COS 6 Find 2.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: CoS cos³ 0 5./ d0 1-sin0

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

Q: (-1)"x2" Σ (2n)! 1. For all x E R, cos x = n=0 +00 (-16)"(4n+1) (2n)! c. Use the result in item 1(b)…

A: We have to prove the sum of series.

Q: 12. Which is not a solution to the equation sin x = cos x-1? %3D A. x = 1 B. x == C. x = 3n 13.…

A: We will find the correct options for each question as following.

Q: -1 cos z sec + C 2 O - sin-l cos z 2 +C 2 tan 1 cos z +C 2

A:

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

A:

Q: cos(2A) = ||+ ||+ 1 + sin(4A 2 1 + cos 24 1 + cos(44) 1 …. sin (44) cos (4A)

A:

Q: (d) r(π/6 + At) - r(π/6) = √3 2 cos At sin Ar-1+(cos Ar i+ At + 2 3√3 2 -sin At 1 3/-)1 2 X

A: We can solve as follows

Q: 2) If z = cos 0 +isin 0 show that 1 = 2 cos 0 a) z+-D 1 b) z" + 2 cos no %3D

A:

Q: 1. Express as a sum or difference a.) sin 7t sin t b.) cos 6u cos (-4u) c.) cos 2t sin 6t d.) 2…

A:

Q: 2sin (2x) cos(2x) dx = cos (2x) + C sin (2x) + C 6. the above the above cos (2x) + C 6. sin (2x) + C…

A: We need to evaluate ∫2 sin5(2x) cos(2x) dx                           (1) Let sin(2x) = t On…

Q: 0.2 Use Euler's identity to (a) show that (i) cos(0 – 1/2) = sin(0), (ii) – sin(0 – 1/2) = cos(0),…

A:

Q: + i sin 12 22 = 2| cos 12 5m + i sin 12 5. Let z1 = 4 cos and 12 Find z,2, and

A: Given complex numbers are in polar form. For multiplication of polar numbers, the magnitudes are…

Q: 1+ cos(8) sin(8) 2 csc(0) sin(0) 1 + cos(0) 1 + cos(8) D + sin?c®) sin(0) sin(0) 1+ cos(0) sin(0)(1…

A:

Q: 2. L{cos 31 } = 2 L{cos 3t } 2 L{cos 3t sin 3t } 2 L{sin 3t} 1-cos 6 2. None of These A Moving to…

A:

Q: F.(3e-3 sin(2x')) is equal to 2 3. n 4+@² 3 cos 8 4 3. 7(1+o² 4 cos 4 4 1 3, 1 +4cos 4. 4 2 1+@ 4…

A: Use the following formulas to calculate the Fourier cosine transform. Fee-ax=2πaa2+ω2…

Q: (2 - 3 sin 30 + y) dy- (9y cos 3p- p+1) do 0, y (0) = 2 Dy+4y-6y sin 3p+ q-20= 12 O y-y+9y cos 30- p…

A: We have to find

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

A:

Q: 0.3- Prove that: n 2n 1 (cos =0 +i sin8) + 10 2cosne - 5 eine

A:

Q: 1 In 3n 1 sin (3x) [cos"-1 (3r) sin (3r) + 3(n – 1)In-2] %3D I1 = %3D - 3 What is I, ?

A: Given : In = (1/3n)  [cosn-1 (3x) sin (3x) + 3(n − 1)In-2 ]  I₁ =  (1/3n)sin (3x)

Q: 18) tan 3x 24) 2sin? 0 3(1-cos 0) 4 25) sin (20)= co cos O 19) cos-x X- cot 26) 4 cos B = 1 + 4sin B…

A:

Q: Solve for O on Co, 2T) 6 sinio + 9 cos 0 -9-0 2 Sin O + 3cos o -3=0 Sin O +los? = Sm?O =1- cos?O…

A: Form the given trigonometric equation in the quadratic equation than solve by factorisation.

Q: Sy² sin Sy dy 1 A) ----² cos Sv + y sin y sin Sy + 1 256 32- 1 1 B) ² cos By-y sin Sy-256 9-11-² sin…

A:

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: Find LT of (i) e-*(2 cos 5t – 3 sin 5t) (ii) e²ª cos² t (iii) e“ sin 2t cos t ,4t

A:

Q: 1+cos 2x dx sin 2z O cot 2x - csc 2x + c O cot 2z +In |sin 2z|+ c O none of these O In (csc 2x + cot…

A:

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: