Question

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

Answer 1

Answer:

hope it helps you...........

Answer 2

Given : $\csc \theta+\cot\theta = p$

To find : $\csc \theta$

Step-by-step explanation:

$\csc \theta+\cot\theta = p ..(1)\\\\using \\\\\csc^2\theta-\cot^2\theta=1\\\\(\csc \theta+\cot\theta )(\csc \theta-\cot\theta )=1\\\\p + (\csc \theta-\cot\theta )=1\\\\(\csc \theta-\cot\theta )=\frac{1}{p}..(2)\\\\text{add 1 and 2}\\\\2\csc\theta = p+\frac{1}{p}\\\\\text{taking LCM}\\\\2\csc\theta = \frac{p^2+1}{2}\\\\\csc\theta = \frac{p^2+1}{2p}$

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