Question

If cosec theta - cot theta = q, then the value of cot theta is

Answer 1

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.....cosecΦ–cotΦ=q

cotΦ= cosecΦ–q

Answer 2

Step-by-step explanation:

Given : cosecθ−cotθ=q

We know that 1+cot2θ=cosec2θ

∴1+cot2θ−−−−−−−−√−cotθ=q

⇒1+cot2θ−−−−−−−−√=q+cotθ

Squaring both sides, we get

∴(1+cot2θ)=(q+cotθ)2

⇒1+cot2θ=q2+cot2θ+2qcotθ

⇒1−q2=2qcotθ

⇒cotθ=1−q22q

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