Question #9d822

1 Answer
sankarankalyanam
Jan 8, 2018

As explained

Explanation:

#sqrt((1-costheta)/(1+cos theta))#

Multiply and divide by #(1 + cos theta)#

#= sqrt (((1 - cos theta) ( 1 + cos theta))/((1 + cos theta)((1 + cos theta)))#

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

We know #sin^2theta + cos^2 theta = 1#

#:. 1 - cos^2 theta = sin^2theta#

Substituting the the value of #1- cos^2 theta# in the given sum,

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

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

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