Mathematics
Express sin 59° + tan 63° in terms of angles between 0° and 45°.
Trigonometric Identities
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Answer
Solving,
⇒ sin 59° + tan 63°
⇒ sin (90 - 31)° + tan (90 - 27)°
By formula,
sin (90° - A) = cos A and tan (90° - A) = cot A.
⇒ cos 31° + cot 27°.
Hence, sin 59° + tan 63° = cos 31° + cot 27°.
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