(sin 7x + sin 5x) + (sin 9x + sin 3x)/(cos 7x + cos 5x) +(cos 9x +cos3x)
= tan 6x
Answers
Answered by
2
Step-by-step explanation:
LHS=
(cos7x+cos5x)+(cos9x+cos3x)
(sin7x+sin5x)+(sin9x+sin3x)
=
2cos(
2
7x+5x
)cos(
2
7x−5x
)+2cos(
2
9x+3x
)cos(
2
9x−3x
)
2sin(
2
7x+5x
)cos(
2
7x−5x
)+2sin(
2
9x+3x
)cos(
29x−3x )=
cos6xcosx+cos6xcos3x
sin6xcosx+sin6xcos3x
=tan6x=RHS
Hence proved
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