If sinθ = 3sin(θ + 2α)

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 Multiple Choice QuestionsMultiple Choice Questions

41.

What is 1sin10° - 3cos10° = ?

  • 0

  • 1

  • 2

  • 4


42.

If k = sinπ18sin5π18sin7π18, then what is the value of k ?

  • 12

  • 14

  • 18

  • 116


43.

The expression sinα + sinβcosα + cosβ = ?

  • tanα + β2

  • cotα + β2

  • sinα + β2

  • cotα + β2


44.

What is the value of tan18° ?

  • 5 - 110 +25

  • 5 - 110 + 5

  • 10 + 255 - 1

  • 10 + 55 - 1


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45.

If tanα + β = 2 and tanα + β = 1, then tan2α = ?

  •  - 3

  •  - 2

  •  - 13

  • 1


46.

Consider the following for triangle ABC :

I. sinB + C2  = cosA2II. tanB + C2 = cotA2III. sinB +C   = sinAIV. tanB +C   = - tanA

Which of the above are correct ?

  • 1 and 3

  • 1 and 2

  • 1 and 4

  • 2 and 3


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47.

If sinθ = 3sin(θ + 2α), then the value of tan (θ + α)+ 2tanα is equal to

  •  - 1

  • 0

  • 1

  • 2


B.

0

sinθ + 2αsinθ = 13    sinθ + 2α + sinθsinθ + 2α  - sinθ = 1 + 31 - 3 = 4 - 2 2sinθ + 2α + θ2cosθ + 2α - θ22cosθ + 2α + θ2sinθ + 2α - θ2 = - 21                       sinθ + α × cosαcosθ + α × sinα = - 21   tanθ + αtanα = - 2tanθ + α = - tanα tanθ + α  + 2tanα = 0


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48.

If secθ - cscθ = 43, then what is sinθ - cosθ = ?

  •  - 2 only

  • 12 only

  • Both - 2 and 12

  • Neither 12 nor  - 2


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49.

The value of tan(9)° - tan(27)° - tan(63)° + tan(81)° is equal to :

  •  - 1

  • 0

  • 1

  • 4


50.

The value of 3csc20° - sec20° = ?

  • 4

  • 2

  • 1

  • - 4


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