Prove that sin a + sin a+ sin 5 a + sin 7a whole divided by cos a + cos 3a + cos 5a + cos 7a equals to tan 4a
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(2 sin4A cos3A + 2 sin4A cosA)/(2 cos4A cos3A+ 2 cos4A cosA)
taking common 2 sin4A from numerator and 2 cos4A from denominator
= 2 sin4A/2 cos4A
= tan4A
hence proved
taking common 2 sin4A from numerator and 2 cos4A from denominator
= 2 sin4A/2 cos4A
= tan4A
hence proved
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