If cot =7/8
evaluate : ()
(1 + sin 0) (1 - sin o)/
(1 + cos 0) (1 - cos )
(ii) cot²=8
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2
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ANSWER :
(1+cosθ)(1−cosθ)
(1+sinθ)(1−sinθ)
We have, a
2
−b
2
=(a+b)(a−b)
Similarly,
(1−sin
2
θ)=(1+sinθ)(1−sinθ)
(1−cos
2
θ)=(1+cosθ)(1−cosθ)
Therefore,
(1+cosθ)(1−cosθ)
(1+sinθ)(1−sinθ)
=
(1−cos
2
θ)
(1−sin
2
θ)
=
(1−(
113
7
)
2
)
(1−(
113
8
)
2
)
=
(113−49)
(113−64)
=
64
49
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11
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