Mathematics

Express the following in terms of angles between 0° and 45° :

cos 74° + sec 67°

Trigonometric Identities

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Answer

cos 74° + sec 67°

= cos (90° - 16°) + sec (90° - 23°)

= sin 16° + cosec 23°

Hence, cos 74° + sec 67° = sin 16° + cosec 23°.

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