Question

Prove sqrt((1+sinx)/(1-sinx)) = ((1+sinx)/(absolute value of cosx))

Answer 1

hint: sin^2+cos^2=1

Answer 2

\[\sqrt{\frac{(1+sinx)}{(1-sinx)}} = \sqrt{\frac{(1+sinx)*(1+ \sin x)}{(1-sinx)*(1+\sin x)}} = \sqrt{\frac{(1+sinx)^2}{(\cos^2 x)}} = {\frac{(1+sinx)}{|(cos x)|}}\]


Got it? :)

Answer 3

In the third part, I have used the first most basic identity in trigonometry
sin^ x + cos^2 x = 1

Answer 4

thanks

Answer 5

:)