Question

If tan2θ•tan4θ=1, find the value of tan3θ, where 0°<θ ​

Answer 1

tan 2θ = cot 4θ (Given)

=> cot(90°-2θ) = cot 4θ

=> 90°-2θ = 4θ

=> 6θ = 90°

=> θ = 90°/6 = 15°

So, tan 3θ = tan (3×15°) = tan 45° = 1 [Ans]

Answer 2

this is the answer of your question.

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