sin^2 x / 1 - sin^2 x = sec^2 x - 1 Tolong buktikan degan cara

jawab

sin² x /(1- sin² x) =  sec² x  -1
= (1 - cos² x) (cos² x)
= (1/cos² x) - (cos² x / cos² x)
= 1/ cos² x - 1
= (1/cos x)² - 1
= (sec x)²  - 1
= sec²  -1