simplify sinx+sin3x/cosx+cos3x
Answers
Answered by
0
Answer:
sin 3x = 3 sin x - 4 sin3 x
sin 5x = 5 sin x - 20 sin3 x + 16 sin5 x
cos 3x = -3 cos x + 4 cos3 x
cos 5x = 5 cos x - 20 cos3 x + 16 cos5 x
Substitute, combine, and reduce.
Answered by
5
Answer:
tan2x
Step-by-step explanation:
we have,,
(since+sin3x)/(cosx+cos3x)
so, (sinx+3sinx-4sin³x)/(cosx+4cos³x-3cosx)
= (4sinx-4sin³x)/(4cos³x-2cosx)
= 4sinx(1-sin²x)/2cosx(2cos²x-1)
= 2tanx(cos²x)/(2cos²x-1)
= 2tanx(cos²x)/cos2x
= 2sinxcosx/cos2x
= sin2x/cos2x
= tan2x ....ans.
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