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Prove thatsin 5x+sin3x/cos5x+cos3x=tan4x

Prove thatsin 5x+sin3x/cos5x+cos3x=tan4x
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2 votes
Prove that
sin 5x+sin3x/cos5x+cos3x=tan4x

User SlothOverlord
by
7.7k points

1 Answer

5 votes
sin5x + sin3x = 2sin4x.cosx
cos5x + cos3x = 2cos4x.cosx
so
(2sin4x.cosx)/(2cos4x.cosx) =
(sin4x)/(cos4x)
= tan4x

User Roma Rush
by
8.2k points
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