Q. 1 E4.4( 15 Votes )

Evaluate

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Answer :

By trigonometric identities, we can say


tan (90° - θ) = cot θ


And tan θ = 1/cot θ


Replace θ by 64°.


We get


tan (90° - 64°) = cot 64°


tan 26° = cot 64° [, 90° - 64° = 26°]


And tan 64° = 1/cot 64°


Using these values, we can solve for the given expression.


tan 26° tan 64° = cot 64° tan 64°


tan 26° tan 64° = cot 64°/cot 64°


tan 26° tan 64° = 1


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