document.write( "Question 756962: tan a + sec a = 2, then find the values of sin a and cos a. \n" ); document.write( "

Algebra.Com's Answer #460530 by Alan3354(69443) $\"\"$ $\"About$

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tan a + sec a = 2, then find the values of sin a and cos a.
\n" ); document.write( "------------------------
\n" ); document.write( "tan a + sec a = 2
\n" ); document.write( "sin/cos + 1/cos = 2
\n" ); document.write( "sin + 1 = 2cos
\n" ); document.write( " $\"s+%2B+1+=+2sqrt%281+-+s%5E2%29\"$
\n" ); document.write( " $\"s%5E2+%2B+2s+%2B+1+=+4%281+-+s%5E2%29+=+4+-+4s%5E2\"$
\n" ); document.write( " $\"5s%5E2+%2B+2s+-+3+=+0\"$
\n" ); document.write( "Solve the quadratic for s ( = sin(a))
\n" ); document.write( " $\"cos%28a%29+=+sqrt%281+-+sin%5E2%28a%29%29\"$ \n" ); document.write( "

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