Without using trigonometric tables, prove that:
sec 70° sin 20° - cos 20° cosec 70° = 0
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sin 63° cos 27° + cos 63° sin 27° = 1
sec 31° sin 59° + cos 31° cosec 59° = 2.
sin2 20° + sin2 70° - tan2 45° = 0.