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AP EAMCET20224 Jul 2022Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

The value of sin θ + sin 3 θ cos θ + cos 3 θ is

Options

  1. Acos 2 θ
  2. Bcot 2 θ
  3. Ctan 2 θ
  4. Dcosec θ + sin θ

Correct answer

C. tan 2 θ

Step-by-step solution

sin θ + sin 3 θ cos θ + cos 3 θ = 2 sin 2 θ cos θ 2 cos 2 θ cos θ = tan 2 θ

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