Q. 13 B4.5( 10 Votes )

If tan 4θ × tan 6θ = 1 and 6θ is a positive acute angle, let us find the value of θ.

Answer :

Given, 6θ as a positive acute angle


tan4θ tan6θ = 1


tan4θ cot(90 - 6θ) = 1



cot(90 - 6θ) = cot4θ


90 - 6θ = 4θ


10θ = 90


θ = 9


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