Prove problem involving sec cos sin

[MathRaven]

Hi guys been struggling to solve this
If you know how to do it, please do solve and show work so that I can follow your steps

Homework Statement

prove (sec(x)-cos(x))/(sec(x)+cos(x))=(sin^2(x))/(1+cos^2(x))

 

[cepheid]

sec(x) = 1/cos(x). So, write both secant terms in this way. Then, separately in both the numerator and the denominator, combine the two terms by finding their common denominator. What do you end up with?