SOLUTION: Simplify: ( cosA - sinA)^2 / cosA

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Question 1040636: Simplify:
( cosA - sinA)^2 / cosA
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The algebra steps are not very complicated. You should find, in FOUR steps, sec%28A%29-2sin%28A%29.

You will only need the basic trigonometric Pythagorean theorem identity, and one definition.

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
Simplify:
( cosA - sinA)^2 / cosA
~~~~~~~~~~~~~~~~~~~~~~~~~ 

%28cos%28A%29+-+sin%28A%29%29%5E2%2Fcos%28A%29 = %28cos%5E2%28A%29+-+2%2Asin%28A%29%2Acos%28A%29+%2B+sin%5E2%28A%29%29%2Fcos%28A%29 = %281-2%2Asin%28A%29%2Acos%28A%29%29%2Fcos%28A%29 = 1%2Fcos%28A%29+-+2sin%28A%29.