NCERT Class XI Mathematics - Trigonometric Functions - Solutions

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Question : 35
Total: 61
sinxsiny
cosx+cosy
= tan (
xy
2
)
Solution:  
We have, L.H.S.=
sinxsiny
cosx+cosy

=
2cos(
x+y
2
)
s
i
n
(
xy
2
)
2cos(
x+y
2
)
c
o
s
(
xy
2
)
=
sin(
xy
2
)
cos(
xy
2
)
= tan (
xy
2
)
= R.H.S.
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