Prove the identity of:

Question

Use algebra to prove the identity: cos(x)/1-sin(x) − tan(x) = 1 cos(x)

Answer 1

cos / (1 - sin) - tan

cos / (1 - sin) - sin / cos

(cos² - sin (1 - sin)] / (1 - sin)(cos)

(cos² - sin + sin²) / (1 - sin)(cos)

(1 - sin) / (1 - sin)(cos)

1 / cos