If cotθ = b/a then sinθ =
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cotθ=
a
b
.....(given)
∴
cosθ−sinθ
cosθ+sinθ
=
sinθ
cosθ−sinθ
sinθ
cosθ+sinθ
=
cotθ−1
cotθ+1
=
b/a−1
b/a+1
=
b−a
b+a
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