3 10 28. tan cos Н. | 12 20 29. cos sin -1 I. T tan (sin- (-) J. - 4 K. -T

Q: 8. S 3+9 tan² 0 sec² 0 de 0+tan3 0 9. [3 cos 0 e sin 0 do

A: Explanation of the answer is as follows

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: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

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Q: 5) cos A 30 B 16 34 7) sin Z 32 40 24 x, 9) cos Z 24 30 x,

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Q: = 0 If 2 sin x cos x + V2 cos x = 0. 0, then %3D %3D or

A: 2sin x cos x +2cos x=0

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…

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Q: If x = 3 sin(0), then а. V9 + x? cos(8) 3 b. cos(x) Vx2 + 9 C. tan(x) d. cot(x) = 3 || е. sec(x) 3 O…

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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: 11m If 0 = 6. then sin(0) • %3D cos(0) =

A: Answer

Q: 9.T/2 1 sec- (-tan ) 2 csc (csc-1 (-) 3 tan (cos- (-) り.-10 こ.0 CSC d.-318 2. 3T/4 -. - व 7 513 9…

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Q: 2. Estimate cos (– 0.1) + cos 4

A: As per given question  We have to solve above question

Q: 57 sin 6 (똥 + 미) =글(c8 )%3D (cos w - V3 sin w) -

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Q: e cosl – i e™ sin 1 + e¯ cos 1 - i e- sin 1 2 e cosl + i e™ sin 1 – e- cos 1 + i e¯I sin 1 -TT 2 e…

A: Simplify the given expression: Coshπ-i

Q: Evaluate the integrals in Exercises

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

Q: 9 If f(0) = cos 01 cos 02· cos 03 ... cos On + tan 0,}=- f (0) Show, {tan 0, + tan 02 + tan 03 +…

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Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

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Q: 7 sin(2t) + 4 cos(t) = 0 %3D

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Q: S sin° (3t) cos(3t)dt Evaluate COS

A: To determine the value of the integral.

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: 9. cos (21) di 10. 11. sin'x cos's de 12.

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Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

Q: 5. (sin 0 – 2r cos² 0) dr + r cos 0 (2r sin 0 + 1) d0 = 0

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Q: 4 sin"t- cos *t= sint- cos 4 2 2

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Q: 9 If f(0) = cos 0, cos 02 cos 03 ..... cos 0n %3D Show, {tan 0, + tan 02 + tan 03 + ......... + tan…

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Q: In Problems 28–44, establish each identity.

A: Trigonometric identities are given, we have to prove the identities. Note: we are answered with 3…

Q: 9. To solve tek ₁ [theat] = 10. Let cos(√2t)]= you may use: n! (s = a)n+¹ II. [teat] = (-1){(f(t)}

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

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(T/11)-cos(2t/11)+cos(3t/11)-cos(4Tt/11)+cos(5rt/11)=?

A: To determine the value of the below expression. cosπ11−cos2π11+cos3π11−cos4π11+cos5π11

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

Q: 1+ sin 0 . Verify cos O 2 sec e Cos A 1+ sin A

A: Our Aim is to verify 1+sin θcos θ+cos θ1+sin θ=2 sec θ -(i)

Q: 15 Suppose that tan a = TC <a<t. 2 and - Find the exact values of cos and tan 2 - JT Cos Undefined…

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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: i) L-- (In) L- | s-3 6s+3 ii) L-1 iii) L(tet cos wt) s+1 sª+5s2+4,

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

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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: 4,5in3x =sinx S Sinx(sin?x-\= sin?x. Sinx(sinx-1). COS X tank (sin zx - COS tan-o TT

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Q: cos2tdt 6. S- (1+sin2t)* 7. S tanßsec?Bdß 8. S(tane – 1)²de cos?ydy 9. S (1-siny)

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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: 39. cos (T + x) 40. sin (2m- xr) 學一) 37T 42. cos 41. sin -

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Q: 7/3 (5 sec t tan t)i + (4 tan t)j + (3 sin t cos t) dt */6

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Q: Graph the functions in Exercises 13–20. What is the period of each function?

A: Dear student, Since you have posted multiple questions, as per our policy we will answer first…

Q: 12. sin 2t – tan t = tant cos 2t - HINT: You will use a reciprocal identity.

A: use the formula

Q: How do you solve this?

A: Given that cos x = 1/3 and x is in the interval (0, π/2).sin y = 1/2 and y is in the interval (π/2,…

Q: Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

A: topic - trigonometric identities

Q: 9 Suppose that a cos x = 1 + sin x, where 0° < x < 90°. a a Prove that 1 = t, where t = tan x. a + 1…

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Q: cos(j. T/2) COS COS

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Q: sec 0 + In + 27+3 = -3 2 In y? + 327 – 4 = 1+ cos 20 2/1+ (tan 0)² + 2ln /y + 22 = -3

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Q: e* cos (7e*) cos (4e*) dx Evaluate: --cos (3e*) -cos (11e*) + C (A 22 B 6 (3e*) +cos (11e") +c cos…

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Q: 23, sin 50° + sin 40° 23. sin A VZ cos 5° B 2 cos 10° 2 cos 5° D V2 cos 10°

A: Trigonometric identity: sin x+sin y=2sinx+y2cosx-y2

Q: • 7/3 (5 sec t tan t)i + (4 tan t)j + (3 sin t cos t) k dt =

A: ∫sec x tan x dx = sec x + Cl∫tan x dx = -ln(cos x) + C