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MHT CET2019Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

sin ⁡ 3 s i n - 1 0.4 = ….

Options

  1. A0.466
  2. B0.256
  3. C0.944
  4. D0.764

Correct answer

C. 0.944

Step-by-step solution

Let E = sin ⁡ 3 s i n - 1 0.4 put s i n - 1 0.4 = θ ⇒ s i n θ = 0.4 ∴ E = sin ⁡ 3 θ = 3 s i n θ - 4 s i n 3 θ = 3 0.4 - 4 0.4 3 = 12 - 4 0.064 = 12 - 0.25 6 = 0.94 4

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