v3 V3 sin 30 = , cos 30° = , tan 30° = COS %3D O sin 30° = , cos 30° = . , tan 30° = %3D %3D V3, cos 30° = V2, tan 30° = %3D %3D 2. O sin 30° = , co , 30 = , tan 30° = /2 V3 2 %3D COS %3D

Q: f'uo) -22:2294 W = 0.4748 2nd Stetzation flui) = fla4748) = 31e flui)= 0.0044 f'ni)= flouT48) = -31e…

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Q: 2. 3- va(c + ian ) - va(0+ in ) Z1 = + i sin + i sin COs 22 = cos

A: This is the problem of complex analysis.

Q: Do the functions y, = cos4t and y, = sin4t constitute a fundamer %3D The functions constitute a…

A: The given differential equation is y''+4y=0 the auxiliary equation is D2+4=0 D2=-4D=±2i therefore…

Q: 1. 2 sin x -1 = 0, 0 < x 90° 2. csc? x – 2 = 0, 0 < x <; 3. sin x cos x = 0, 0 < x Sa 4. 4 sin? x –…

A: We will answer first three questions for you,as per bartleby guidelines. Kindly repost unanswered…

Q: a) Show that U = e-x sin (nt) is a solution to a²u = 0. %3D ax2 at2

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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: = 0; y(0) = 2.2, y'(0) = -8.7, y"(0) = 38.85. O y = (91/150)sin 1.5t - 0.2cos 1.5t + 2.4e^(-4t) O y…

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Q: 2 WWw -21 2T -TT TT -2 -4 -6 s(2) = 3sin(x + )-2 f(x) = 3 sin x + 4 A) f(x) = 3 sin 2x + -2 B) f (x)…

A: Please go through the attached solution.  Thankyou . Best regards.

Q: 5) - sec2 x y And the ares Of the Shadid regran 3- 2- y = cos x х 4 - KN

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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: e interval 0, 2T). Approximate the solut 6. cos x(coS +2) 1 11

A: Consider the provided equation and simplify:

Q: 2. i) Find in radians the values of x in the interval 0°0 and 2 is and acute angle. Hence find the…

A: The problems with the trigonometric functions for value of x can be solved using the trigonometric…

Q: (3 Points) Solve the IVP. (1 + x² + y² + x²y² )dy = y²dx, y(-1) = 1 O + y = tan-x + 4 O = = cosx +…

A: The solution is, y - (1/y) = tan-1(x) + π/4 The detailed solution is as follows below :

Q: won of cos 0) dr + r (sin 6 + cos 0) rsine rcose = C O r + rsine rcose = C 5 + rsine rcose = C r2 +…

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Q: | 12 csc² (62) cot(6) dæ = 12 csc (6x) cot(6x) dx : (Use Substitution Method) %3D 12 12 +C 12 sin?…

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Q: ſcos (x/2) cos (x/3) dx * 3/5 sin(x/6) + 3 sin(5x/6) + C None of the choices 3/5 sin(5x/6) + 3…

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Q: ди ди 1. find az and " if z = 5 tan-1(x)and x eu + In(v) at the point (In2,1) %3D dv

A: Using chain rule.

Q: e 12 Cos V7t + sin 5 -- choices: sin V5 12s-7 s2+7 4. 12s-7 V5 s2+5 B s2+7 4. sin /5 12s-7 s2+7 36…

A: Solution

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)…

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Q: y = 46 tan B3 – 2 = 4¢ tan az – 2 %3D and y = 46 tan B2 +2 = 46 tan æ3 + 2 %3D and hence all the gas…

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Q: Use a change of variables or Table toevaluate the following definite integrals.

A: ∫01/8x1-16 x2 dx

Q: V, = {2i} m/s V, = {0.448v½i + 0.894v,j} m/s = {5 cos 0 i + 5 sin 0 j} m/s %3D 目。 Vb/r v, = 2 m/s 5…

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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

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Q: sin 2t sin 5t 10 58s2+ 441 20 s4+58s2 +441 84 O Option 3 Optlon 4 O Option 2 O Nons of the cholcss…

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

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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: 3. K 16 L • sin L = • sin M = %3D 34 • cos L = cos M = %3D %3D tan L = • tan M = %3D

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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: 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

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Q: 8:14 PM Mon Feb 28 - 53% T O + : b = 2UT6 生))+()-号) =(-$)(-)+(學)量 b=4 65 25 - 3 (85) COS S = and cos…

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Q: |(5e" + 5z* - 6 sin z)dz =- 5e" + z5 – 6 cos z+e 5e" + z5 - 6 sin z+e 5e" - z +6 cos z+e 5e* + z + 6…

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Q: 1. у %3D х3 — х?cosx + 2xsic 2 sin x – 1 2. у%3D cosx+ 2 3. tan(xy) + xу %3D 0 4. у %3D хсоsх

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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…

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Q: a Show that (sin(m + n)x + sin(m – n)x) b Hence, without using the product rule, differentiate sin…

A: We will find out the required values.

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: J (sin 3x)² = sin 3x xp- sin 3x CO = sin 3x xp- sin 3x On simplifying further, y2 (x) = cq sin 3x /…

A: In this question , constant is to be included in the last solution of the differential equation.…

Q: 3) [~x cos² (x3/2 - 8) dx , A)sin (x/2 - 8) + C 1 = x3/2 – 8 3) 1 B) a32 - 8) + sin 2432 - 8) • C D)…

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Q: and <B<m 6. Given sin B = %3D 3' 2 Give the exact values for cos B and tan 3 V5 tan 3 3. 2/5 cos B =…

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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…

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Q: Test for exactness then solve. (cos x cos y − cot x)dx − (sin x sin y )dy = 0

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Q: The function z =x^2√y is defined on the astroid x = cos^3θ, y = sin3θ where 0 ≤ θ < 2π. Use the…

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Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Given, I=∫25325dxx25x2-1

Q: cos^2(w)=2sin(w) for all solutions 0≤w<2π

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Q: ∫0π/2[√(cos3x) sin3xdx]

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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: 26 csc (2x) cot(2x) dx (Use Substitution Method) 26 26 + C 4 sin (2x) 4 2 26 26 + C 4 sin? (2æ) 4 26…

A: Integration.

Q: -2 /2 cos 0 = 3 y sen 0 = a. csc 0 = c. tan 0 = b. sec 0 =. d. cot 0 = 4/17 sen 0 = 17 y cos 0 = 17…

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Q: Sketch the lines in Exercises 45–48 and find Cartesian equations for them.

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

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.