SOLUTION: prove that : 1 - sin theta / 1 + sin theta = ( sec theta- tan theta)2

Question 994358: prove that : 1 - sin theta / 1 + sin theta = ( sec theta- tan theta)2
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
(For easier typing, we will let theta = x)
If we multiply the numerator and denominator by 1 - sin(x), and simplify we get:
(1 - 2sin(x) + sin^2(x))/cos^2(x) = (1-2sin(x))/cos^2(x) + tan^2(x)
Simplifying the first term gives
sec^2(x) - 2sec(x)tan(x) + tan^2(x) = (sec(x) - tan(x))^2

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