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Prove that: sqrt((1-sintheta)/(1+sin the...

Prove that: `sqrt((1-sintheta)/(1+sin theta))+sqrt((1+sintheta)/(1-sintheta)=)``2/(costheta)`, if `0ltthetalt(pi/2)`

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Given,`sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sintheta)/(1-sintheta))`
=`((1-sintheta)+(1+sintheta))/sqrt(1-sin^2theta)`
=`2/sqrt(cos^2theta)`
=`2/|costheta|`
or `2/costheta` for `0 <= theta < pi/2`
or `-2/costheta` for `pi/2 < theta <= pi`
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