If cosec s - cot s = q , then find the value of cosec
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Let cscθ−cotθ=q ...(1)
cscθ+cotθ
(cscθ−cotθ)(cscθ+cotθ)
=q
⇒
cscθ+cotθ
csc
2
θ−cot
2
θ
=q
⇒cscθ+cotθ=
q
1
...(2)
Adding (1) & (2) we get,
2cscθ=q+
q
1
∴cscθ=
2
1
(q+
q
1
)
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