The simplified form of cos G- 13x) + sin + 13x V2 cos 13z + 2 sin 13æ O v3 cos 13z + sin 13x O cos 13x + v3 sin 13x O v3 cos 13æ + v2 sin 13x /3 cos 13

Q: Prove that 1-x ', V 2 1+x cos'x = 2 sin 2cos 2 COS 1 -1

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Q: Place these trig equations into general form: 1.   y = 3/2 cos (πx - π) 2.  y = cos(2x - π) 3.  y…

A: As per our per our guidelines I am solving only first three parts plzz repost other part To place…

Q: Express the product as a sum or difference. sin 6x sin 4x (cos 10x - cos 2x) O sin2 24x2 (cos 2x -…

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Q: Derive formula (2) on page 601. cosucos v 5lcos (u – v) + cos (u + v)]

A: Given equation is cosucosv=12cosu-v+cosu+v. cosu-v=cosucosv+sinusinvcosu+v=cosucosv-sinusinv

Q: Solve cosx + secxr = - 2 on [0,27). 3n 4 O 3n 2

A: Explained below

Q: Evaluate: Jcos 2xdx cos2x cos32х + C 6 A 2 sin2x sin32x + C 6 B 2

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Q: 2 2 In sin 2x - 2 In (1 + cos 2x) = In ( )- %3D

A: Given that: The identity is 2 ln sin 2x - 2 ln ( 1 + cos 2x) = 2 ln tan x .

Q: Let z1 = 4 (cos 7π/12+ i sin 7π/12) and z2 = 2 (cos 5π/12+ i sin 5π/12) Find z1z2. Find z1/z2

A: Recall:  z1z2=r1r2cos(A+B)+isin(A+B) z1z2=r1r2cos(A-B)+isin(A-B) We have, r1=4, r2=2, A=7π12,…

Q: "(등 -2) + ain (품 + 22) The simplified form of cos 22x) + sin O V3 cos 22x + sin 22x O v2 cos 22x + 2…

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Q: verify the results  sin 4x = 8 cos3 x sin x − 4 cos x sin x  tan2 x =1−cos 2x/1+cos 2x

A: To prove: sin 4x = 8 cos3 x sin x − 4 cos x sin x Proof: Since sin2x = 2sinxcosx sin2(2x) =…

Q: Prove that: 2n 1 cos=0 + i sin 0) + 10 2cosne - %3D eino

A: If  is an exponential form of a complex number where x and y are real numbers then its polar form…

Q: Place these trig equations into general form: 1. y = sin (4x + 3π/2) + 2 2. y = cos (3x - 6/7) 3.…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find all solutions in the interval 0° ≤ θ < 360° where θ1 < θ2 < θ3 < θ4 < θ5 < θ6. sin (30− 45°) =…

A: We need to find all solutions in the interval 0°≤θ≤360° for the given trigonometric equation.…

Q: Show that sin 3x and cos 3x are orthogonal on [−π, π].

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Q: #18. EXPRESS AS A SUM OR DIFFERENCE а. b. cos 6u cos (-4u) cos 2u + cos 10u sin 7t sin t cos 61 -…

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Q: What substitution should be used to solve the integral x²dx |4+9x² O sin u=3x/2 sec u =2x/3 O sec u…

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Q: Solve exactly over the interval 0 ≤  θ  ≤ 2π 1. √3 Cosθ- 2sinθ cosθ = 0 2. Cos(θ/2) - cosθ = 0…

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Q: Find all solutions of 4sin^2xtanx−tanx= 0 that are in the interval [0,2π)

A: Given the equation  4sin2xtanx-tanx=0. We need to find the solution in the interval [0,2π)

Q: 8. -dt 1+64t 2 sin-8 B. А. (). -1 2 tan 2 tan- 8 O c. D.

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Q: Prove that (7 sin2m-10 cos2n-10 = – B(m,n)

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Solve for QIF 4 Cas G+2 sin 2Q+3in 203D0

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Q: 7π/12+

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Q: Compute 2° sin(x" + 2) dæ. O -7 cos(x" + 2) + C O 1 cos(x² + 2) + C O - cos(2" + 2) +C 1 cos(2" + 2)…

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Q: Show that sin (2n + 1)z 2n +1 { 7/4 */4 0<まく

A: We will use complex analysis to solve the given infinite sum.

Q: 3) Solve 1−sin2(A)+1 = 2cos(A) over [0,2π)

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Q: #17. EXPRESS AS A PRODUCT а. sin 20 + sin 40 2 sin 30 cos A b. cos 5t + cos 6t 2 cos 41 eos 1 C. sin…

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Q: Simplify - 2sin(2 – x)cos(2r + 1). O cos(x + 3) – cos(3x – 1) O sin(1 – 3x) – sin(x +3) O sin(3x –…

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Q: Evaluate cos (x (x2 – 2x + 1) (2x - 2) sin (x 2 - 2x +1) (2 – 2x) sin (x? – 2x + 1) O (2x 2) cos (x-…

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Q: The simplified form of cos ( - 5z) 5z) + sin 6 52) + sin (; + 52) O v3 cos 5x + v2 sin 5x O v2 cos…

A: This can be evaluated as:

Q: 3) Express 4sin 2x+3 cos 2x in the form of Rcos (2x-a). Hence, solve the equation | 4sin 2x+3 cos 2x…

A: The given trigonometric expression is, 4sin2x+3cos2x=5432+42sin2x+332+42cos2x=545sin2x+35cos2x⋯⋯1…

Q: -5 cos 2B cos 6B -5 cos 4B + 5 sin 8B -5 cos 8B – 5 sin 4B 2 2 -5 cos 4B – 5 sin 8B -5 cos 4B – 5…

A: Solve : -5cos2Bcos6B Use formula = [cos(a-b)+cos(a+b)]/2

Q: sin can be expanded to: sin 4 COS 2 cos - sin sin 2 O sin 4 sin -cos - + cos –sin 2 4 2 O sin + sin…

A: Given: sinπ4+π2 To find: expand the given trigonometric expression. The formula for…

Q: (sin 4z + cos 4) O 2+ sin 4I COs 4r O 1+2 sin 4x cos 4x O 4+ sin 4I COs 4x O 1+2 tan 4x cos 4x O 1-…

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Q: Show that n. In(cos 2k+2) = - In (2"+ sin 2n+2). k=0 Hint: sin 20 = 2 sin 0 cos 0.

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Q: v3 V3 sin 30 = , cos 30° = , tan 30° = COS %3D O sin 30° = , cos 30° = . , tan 30° = %3D %3D V3, cos…

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Q: Which of the following is a cubed root of (-/3 - 9? (A) 21°[cos(8z9) + i sin(8z9)] (B) 21[cos(7x/9)…

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Q: Prove that ; cosec x . cosec 2x . sin 4x . cos 6x . cosec 10x cos 3x + cos 5x cos 7x cos 9x sin 2x…

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Q: Find the root (3 – 3i)2 - + V18[cos(r/8) + isin(x/8)] O +V18[cos(x/8) – isin(t/8)] +3 V2[cos(1/4) –…

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Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9…

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: Find 7s + 15 -7 s2 + 2 15 cos (v2t) + 7 sin(v2t) V2 7 cos(V3t) + 15 sin(3t) V2 7 cos (v2t) – sin(vZ…

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Q: Find , if z= cos(3x² + 7y°) O 2x sin(3a? + 7y³) sin(3x² + 7y³) -9x cos(3x2 + 7y°) -6x sin(3x? + 7y°)

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Q: sec 0 + In + 22+3 = -3 2 In y + 322-4 = 1+ cos 20 2/1+ (tan 0)2 +2ln y+2 3

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Q: 4. Express in the form a + jb, (i) 2(cos 30° +j sin 30°) (ii) 5(cos 57° -j sin 57°)

A: To write in the form of a+jb

Q: 9 Prove Sen 4t 4 cos3t sint-sin3t cos t.

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Q: cost+cos4t+cos7t / sint+sin4t+sin7t = cot4t

A: SOLUTION-

Q: Z {sin(3t + 2)} O (5 sin (3) + 2cos (3))/ (s^2 + 4) O (s sin (3) + 2cos (3))/ (s^2 + 4) (s sin (2) +…

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Q: The simplified form of cos ( - 12a) + sin (* + - 12=) 6 O v2 cos 12r + 2 sin 12x O V3 cos 12a + v2…

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Q: 2 Verify the identity 4cos x (20 points) 2 2 2 4sin x cos²x + 4sin²x − 4sin³x = 4cos²x.

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Q: Find the root (7 – 7i)/2 O +7/2[cos(x/4) – isin(x/4)] O +V98[cos(r/8) – isin(x/8)] O +7/2[cos(x/8) +…

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Q: Evaluate: cos32xdx cos³2x - +C 6. cos2x (A) cos32x +C cos2x B sin2x sin32x +C 6. = 2 sin32x + C 6.…

A: Given query is to find the integral.