sin 2x + 2 5я 3 + n, 3 5я + 2 n, + 2 яп 3 3 5я + KN, 6 2 я ○쓸+2.0, + 2 n 6 3

Q: 6. 1) cos sin 7 -1 2V5 -1 3) csc cos 5) csc sin " -1 4/5

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Q: V34 cos co - 59.036°) = 4 cos co -59.036°) V34 o - 59.036° - Cos" (会 o -59.036= 46.686 0 = ° 105.才22…

A: The objective is to find the value of theta.

Q: 6 sin(47y)sin(5y)

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Q: 13 4. sec 8 = sin 6>0 5'

A: Given secθ = -135sinθ>0 Hence θ lies in the second quadrant We know that in second quadrant sinθ…

Q: 5. y=2 sin 20; 0=0,0=

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Q: Show that sin3 θ + sin3 (θ + 120°) + sin3 (θ + 240°) = - 3/4 sin(3θ)

A: Given,           sin3θ+sin3θ+120°+sin3θ+240°=-34sin3θ

Q: tan (+) = [² Lt) ton" (+ tan (4+/cmc+)) In 2 4 2 6 • tan À I 12 1²0 (+) - — tan² (+) + & tan² (+) +…

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Q: 2. tan 4 0 + tan ² 0 = sec4 0 – sec ² 0

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Q: 10) cos sec-¹ 2√√3 3

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Q: 2sin(x)cos(x) = sin2x Is it a legitimate operation to divide all x's by 2 to get:…

A: Solution, The general formula for this trigonometric expression is -  Sin(2x)= 2sin(x)cos(x)   Here…

Q: Find the solution(s) for theta. =4•sin 40 2/3 {60, 75, 150, 165, 240, 255, 330, 345} {0, 30, 60,…

A: Use the concept of solution of Trigonometric equation.

Q: 7 sin 20 + 3=

A: Given: 7sin 2θ+3=0 Where 0°≤θ≤360° To find: All the angles.

Q: 11. sin(2 tan-1 (-) 3,

A: A trigonometric ratios sin, cos, tan can take the input in the unit of degree or radians. The…

Q: sin (3θ − 45°) = -√3  / 2 find   θ1 =  °      θ2 =  °      θ3 =  °      θ4 =  °      θ5 =  °…

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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: 5. Evaluate: sec°0 tan’0 de

A: Consider the given integral. I=∫sec9θtan7θdθ Further, simplify.…

Q: (cos 20+i sin 20)² (cos 30+i sin 30)² | 3 (cos 40+i sin 40)(cos 60+i sin 60) COS

A: The given expression is cos2θ+isin2θ2cos3θ+isin3θ2cos4θ+isin4θcos6θ+isin6θ13 use De Moivre's theorem…

Q: sin(2³ + 42) f(2) = %3D 2² – 2z + 5

A: In this question, we find the radius of convergence for the given function. For the radius of…

Q: 9. sin-1 /2 /2 10. sin-1_ 1

A: We have to find the exact value of the inverse trigonometric expression: 9.     sin-12210.…

Q: Sin 26 de 9 sinte+4

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Q: az"¹)]sin(a @)-¹ + a² az-1)2]sin(a w)₂-¹ + a² az-1)³]sin(a @)²-¹ + a² -(az-1)³]sin

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Q: 2. 2) tan- 1 4) sin- 6) tan-1 V3 -1 01_ V3 10) sin -1 2. 12) tan-! 3.

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Q: usz 52 и (Inn)" 14 и OF U dim

A: We need to find limit.

Q: 4/7 8 sin 18) 8 8 sin 10tan 10) do sec? 10) +.

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Q: 3. 2√3 sin 2x = -√3, [0, 2π)

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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 31)8(1-a/2)dt

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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: 1. tan 4 2. sin Зл 3. sin 4 4л 4. cos 3

A: There are multiple question. As per company policy kindly ask other question separately . 1.

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5) (320° – sin 20 + jln5)*

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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: O sec sec 0 – 3 = tan 0 – 4

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Q: 3 sin 0 +7 sin 0+4 sin 0 +2 sin 0 +1 2

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Q: sin + 4 4 can be expanded to: sin sin 4 4 cos cos 4 o sin - cos 4 sin 4 sin 4 o cos -sin 4 + cos 4…

A: Solve the following

Q: Express the sum or difference as a product. 1. cos 9x/2 + cos 7x/2 2. sin 4x - sin 6x

A: 1) Use the identity for summation,

Q: Select all the true equations. O cos(15) = sin(15) O cos(75) = sin(15) %3D O cos(75) = cos(15) O…

A: Use trigonometric angle conversion

Q: 3 2 sin 2 0 cos 2 0 dO= 6/2 IT a O 64 32 3/2 64 3/2 32

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Q: (1) r = 2+ 2coso (2) r = -2- 2cos0 (3) r = 2-2 sin0 (4) r = -2+2 sin0 %3D

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Q: Prove that ²-1 (²) (0) (sin (+,-) + do r² sin(0)

A: Given : ∇2=∂2∂x2+∂2∂y2+∂2∂z2 To Prove : ∇2=1r2∂∂rr2∂∂r+1r2sinθ∂∂θsinθ∂∂θ+1r2 sin2θ∂2∂ϕ2

Q: sin (tan' 8, zan-)= 0.35 O -0.35 O 0.40 O -0.40 O O O

A: Inverse Trigonometric ratios are just the opposite of Trigonometric ratios as Trigonometric ratios…

Q: 12 (b) sec ( sin 13

A: Evaluate the form.

Q: neN JS E (4i +1) = 2n2 + 3n +1 n(n +1) . neN JI

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Q: 61. sec 2 1+ cos 0 65. cos 64. tan = csc v - cot v sin (30) 67. cos (30) = 2 sin 0 cos 0 2.

A: (61) We have to prove, sec2θ2=21+cosθ We know that, from half angle formula cosθ2=1+cosθ2 On…

Q: 8. у %3D sec (2 — Зх) 9sec (2 – 3x)tan°(2 – 3x) C. 9 sec (2 – 3x) tan tan (2 – 3x) D. – 9 sec (2 –…

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Q: . 27. sin (30) = -1

A: you can clearly understand if you follow the below solution

Q: (cos 20+ jsin 20) (cos 60+ jsin 60)1" (cos 30+ jsin 30)°(cjs 1000)

A: the given expression is cos 2θ+jsin 2θ5cos 6θ+jsin 6θ10cos 3θ+jsin 3θ9cjs 10θ Using De Moivre's…

Q: sin? ( * ) = 3 1- sec 2 ( * ) 3 1+ cos 2 ( *) 3 1- cos 2 ( * ) 3 1+ sec 2 ( * ) 3

A: Given query is to find the correct option.

Q: 3元 4) sin 5元 5) sec 4

A: Given,          sin3π2

Q: 24. (sin 0°)(tan 30°) + cos 0° 26. cos 60°(cos 0° - cos 180°) 25. (cos 180° + 2 tan 45°) 27. (sin…

A: