If sin6θ + sin4θ + sin2&thet

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 Multiple Choice QuestionsMultiple Choice Questions

71.

The value of cot54°tan36° + tan20°cot70° is

  • 0

  • 2

  • 3

  • 1


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72.

If sin6θ + sin4θ + sin2θ = 0, then the general value of θ

  • 4,  ± π3

  • 4,  ± π6

  • 4, 2 ± π3

  • 4, 2 ± π6


A.

4,  ± π3

sin6θ + sin4θ + sin2θ = 0 sin6θ + sin2θ + sin4θ = 0 2sin6θ + 2θ2cos6θ - 2θ2 + sin4θ = 0 2sin4θ cos2θ + sin4θ = 0 sin4θ2cos2θ + 1 = 0 sin4θ = 0 2cos2θ + 1 = 0 2cos2θ = - 1 4θ =  cos2θ = - 12 = cos2π3 θ = 4 2θ = 2 ± 2π3 θ =  ± π3


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73.

In a ABC, 2acsinA - B +C2 is equal to

  • a2 + b2 - c2

  • c2 + a2 - b2

  • b2 - a2 - c2

  • c2 - a2 - b2


74.

Value of tan-1sin2 - 1cos2

  • π2 - 1

  • 1 - π4

  • 2 - π2

  • π4 - 1


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75.

The value of sin55° - cos55°sin10° is

  • 12

  • 2

  • 1

  • 2


76.

In triangle ABC, a = 2, b = 3 and sin(A) = 23, then B is equal to

  • 30°

  • 60°

  • 90°

  • 120°


77.

Simplest form of 22 + 2 + 2 + 2cos4x is

  • secx2

  • secx

  • cscx

  • 1


78.

If 5cos2θ + 2cos2θ2 + 1 = 0, when 0 < θ < π, then the values of θ are

  • π3 ± π

  • π3, cos-135

  • cos-135 ± π

  • π3, π - cos-135


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79.

tanπ4 + 12cos-1ab + tanπ4 - 12cos-1ab is equal to

  • 2ab

  • 2ba

  • ab

  • ba


80.

The equation 3sinx + cosx = 4 has

  • only one solution

  • two solutions

  • infinitely many solutions

  • no solution


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