Question #7cb8c

1 Answer
salamat
Jan 31, 2017

see explanation

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#

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