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Mathematics

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

sin 59° + tan 63°

Trigonometric Identities

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Answer

sin 59° + tan 63°

= sin (90° - 31°) + tan (90° - 27°)

= cos 31° + cot 27°

Hence, sin 59° + tan 63° = cos 31° + cot 27°.

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