Question

Tan theta.tan 2 theta=1 in trigonomentric equationd

Answer 1

Hope it helps....!!!!

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We have,    

tan θ . tan 2θ = 1

⇒tan θ × 2 tan θ/1 − tan^2θ = 1

⇒2 tan2θ = 1 − tan^2θ

⇒3 tan^2θ = 1

⇒tan^2θ = 1/3

⇒tan^2θ = tan^2(π/6)

⇒θ = nπ±π6


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