Let α = β = 15°What is th

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 Multiple Choice QuestionsMultiple Choice Questions

81.

If cot(α) and cot(β) are the roots of the equation x2 – 3x + 2 = 0, then what is cot (α + β) equal to ?

  • 12

  • 13

  • 2

  • 3


82.

If sin(x) + sin(y) = cos(y) – cos(x), where 0 < y < x < π2

then what is tanx - y2 equal to ?

  • 0

  • 12

  • 1

  • 2


83.

Let α = β = 15°

What is sin(α + 1o) + cos(β + 1o) equal to ?

  • 3cos1° + sin1°

  • 3cos1° - 12sin1°

  • 123cos1° - sin1°

  • 12cos1° - sin1°


84.

Let α = β = 15°

What is the value of sin(7α) -cos(7β) ?

  • 12

  • 122

  • 322

  • 32


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85.

Let α = β = 15°

What is the value of sin(α) + cos(β) ?

  • 12

  • 122

  • 322

  • 32


D.

32

sinα + cosβ = sin15° + cos15° = sin15° + cos90 - 75= sin15° + sin75°We know thatsinC + sinD = 2sinC + D2cosC - D2Hence,  sin15° + sin75°= 2sin15 + 752cosi15 - 752= 2sin45cos30= 2 × 12 × 32= 32


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86.

Let tn = sinn(θ) + cosn(θ)

What is the value of t10 where θ = 45o ?

  • 1

  • 14

  • 116

  • 132


87.

Let tn = sinn(θ) + cosn(θ)

What is the value of t12  - t2 = ?

  • cos2θ

  • sin2θ

  • 2cosθ

  • 2sinθ


88.

Let tn = sinn(θ) + cosn(θ)

What is t3 - t5t5 - t7 = ?

  • t1t3

  • t3t5

  • t5t7

  • t1t7


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89.

Let asin2(x) + bcos2(x) = c; bsin2(y) + acos2(y) = d and p tan(x) = qtan(y).

What is p2q2 equal to?

  • b - cb - da - da - c

  • a - dc - ab - cd - b

  • d - ac - ab - cd - b

  • b - cb - dc - aa - d


90.

Let asin2(x) + bcos2(x) = c; bsin2(y) + acos2(y) = d and p tan(x) = qtan(y).

What is d - ab - d equal to ?

  • sin2(y)

  • cos2(y)

  • tan2(y)

  • cot2(y)


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