Answer:
Step-by-step explanation:
The best way to start this problem is to work on the right.
sec(theta) = 1/ cos(theta.
So the right numerator becomes
1/cos(theta) - 1
Put over a common denominator of cos(theta)
1 - cos(theta)
===========
cos(theta)
Now do the same thing with the denominator on the right.
1/cos(theta) + 1
1 + cos(theta)
=================
cos(theta)
Now put the numerator and denominator together.
1- cos(theta)
----------------
cos(theta)
==============
1 + cos(theta)
-----------------
cos(theta)
Invert and multiply the denominator of that four tier fraction.
1 - cos(theta) cos(theta
========== X ==============
cos(theta) 1 + cos(theta)
cos(theta) cancels out.
1 - cos(theta)
=========
1 + cos(theta)
What you have is the left hand side.
