SOLUTION: tan a + sec a = 2, then find the values of sin a and cos a.

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Question 756962: tan a + sec a = 2, then find the values of sin a and cos a.
Answer by Alan3354(69443) About Me  (Show Source):
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tan a + sec a = 2, then find the values of sin a and cos a.
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tan a + sec a = 2
sin/cos + 1/cos = 2
sin + 1 = 2cos
s+%2B+1+=+2sqrt%281+-+s%5E2%29
s%5E2+%2B+2s+%2B+1+=+4%281+-+s%5E2%29+=+4+-+4s%5E2
5s%5E2+%2B+2s+-+3+=+0
Solve the quadratic for s ( = sin(a))
cos%28a%29+=+sqrt%281+-+sin%5E2%28a%29%29