Question

tan2theta.tan4theta = 1. then the value of tan3theta ?​

Answer 1

Step-by-step explanation:

tan 2∅.tan 4∅ = 1

or, tan 2∅ = cot 4∅

or, tan 2∅ = tan (90°-4∅)

or, 2∅ = 90°-4∅

or, 6∅ = 90°

or, ∅ = 15°.

so, tan 3∅ = tan 3×15°

= tan 45°

= 1.

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