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Question
`sqrt((1+sin theta)/(1-sin theta)) = (sec theta + tan theta)`
Solution
LHS = `sqrt((1+sin theta)/(1-sin theta))`
=`sqrt(((1+ sin theta))/(1- sin theta) xx ((1+sin theta))/(1+ sin theta))`
=` sqrt(((1+sin theta)^2)/(1-sin^2 theta))`
=`sqrt(((1+ sin theta)^2)/(cos^2 theta))`
=`(1+sin theta)/cos theta`
=`1/cos theta+ (sin theta)/(cos theta)`
= (sec 𝜃 + tan 𝜃)
= RHS
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