SOLUTION: If A is an angle such that tan A + sec A = 2, evaluate cos A

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Question 1177725: If A is an angle such that tan A + sec A = 2, evaluate cos A
Answer by MathLover1(20850) About Me  (Show Source):
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tan%28A%29%2B+sec%28A%29+=+2, evaluate cos%28A%29

use identities: tan%28A%29=sin%28A+%29%2Fcos%28A%29 and sec%28A%29=1%2Fcos%28A%29

sin%28A+%29%2Fcos%28A%29%2B+1%2Fcos%28A%29+=+2

%28sin%28A+%29%2B+1%29%2Fcos%28A%29+=+2

cos%28A%29+=%28sin%28A+%29%2B+1%29%2F2