Trigonometric EquationMedium

Question

If sinθ + sin 2θ + sin 3θ = sin α and cosθ + cos2 θ + cos3θ = cosα, then θ is equal to -

Options

A.α/2
B.α
C.α/2
D.α/6

Solution


⇒
tan2θ  = tanα ⇒2 = α ⇒ θ = α/2

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