SOLUTION: establish each identity A) 1 - sin theta over cos theta + cos theta over 1 - sin theta = 2 sec theta

Algebra ->  Trigonometry-basics -> SOLUTION: establish each identity A) 1 - sin theta over cos theta + cos theta over 1 - sin theta = 2 sec theta      Log On


   

Question 699789: establish each identity
A) 1 - sin theta over cos theta + cos theta over 1 - sin theta = 2 sec theta
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
establish each identity
A) 1 - sin theta over cos theta + cos theta over 1 - sin theta = 2 sec theta
**
start with left side
(1-sin)/cos+cos/(1-sin)
=(1-sin)^2+cos^2/cos(1-sin)
=1-2sin+sin^2+cos^2/cos(1-sin)
=2-2sin/cos(1-sin)=2(1-sin)/cos(1-sin)=2/cos=2 sec
verified: left side=right side