NCERT Class XI Mathematics - Trigonometric Functions - Solutions

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Question : 34
Total: 61
sin5x+sin3x
cos5x+cos3x
= tan 4x
Solution:  
We have, L.H.S.=
sin5x+sin3x
cos5x+cos3x

=
2sin(
5x+3x
2
)
c
o
s
x
(
5x3x
2
)
2cos(
5x+3x
2
)
c
o
s
(
5x3x
2
)
=
2sin4xcosx
2cos4xcosx
= tan 4x = R.H.S.
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