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How do you verify #sqrt((1-sinx)/(1+sinx))=(1-sinx)/abs(cosx)#?

How do you verify #sqrt((1-sinx)/(1+sinx))=(1-sinx)/abs(cosx)#?
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#sqrt((1-sinx)/(1+sinx))=(1-sinx)/|cosx|#

Explanation:

#sqrt((1-sinx)/(1+sinx))#

= #sqrt((1-sinx)/(1+sinx)xx(1-sinx)/(1-sinx))#

= #sqrt((1-sinx)^2/(1-sin^2x))#

= #sqrt((1-sinx)^2/cos^2x)#

= #(1-sinx)/|cosx|#

answered by: Shwetank Mauria
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How do you verify #sqrt((1-sinx)/(1+sinx))=(1-sinx)/abs(cosx)#?
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