Express the following in terms of angles between 0° and 45° :
sin 59° + tan 63°
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= sin (90° - 31°) + tan (90° - 27°)
= cos 31° + cot 27°
Hence, sin 59° + tan 63° = cos 31° + cot 27°.
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Show that :
tan 10° tan 15° tan 75° tan 80° = 1
sin 42° sec 48° + cos 42° cosec 48° = 2
cosec 68° + cot 72°
cos 74° + sec 67°