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

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Answer 1 · 2016-08-07T12:00:08

$sqrt((1-sinx)/(1+sinx))=(1-sinx)/|cosx|$

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

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

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

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

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

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