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Evaluate: (tan 23°) × (tan 67°) - Mathematics

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Question

Evaluate: (tan 23°) × (tan 67°)

Evaluate
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Solution

tan 23° × tan 67°

= tan 23° × tan (90° – 23°)   ...[∵ tan (90° – θ) = cot θ]

= tan 23° × cot 23°

= `tan 23^circ xx 1/(tan 23^circ)`

= 1

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2019-2020 (March) Basic - Outside Delhi set 1
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