Question #7cb8c

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Answer 1 · 2017-01-31T02:40:11

see explanation

$sqrt((1+cos theta)/(1-cos theta))$

multiply with $sqrt (1+cos theta)$

$sqrt((1+cos theta)/(1-cos theta))*sqrt((1+cos theta)/(1+cos theta))$

$sqrt(((1+cos theta)/(1-cos theta))*((1+cos theta)/(1+cos theta))$

$= sqrt((1+cos theta)^2/((1-cos^2 theta))$

$= sqrt((1+cos theta)^2/sin^2 theta) = (1+cos theta)/sin theta$

$= 1/sin theta +cos theta/sin theta$

$=cosec theta + cot theta$