document.write( "Question 1014973: How do you write sec theta in terms of sin theta only? \n" ); document.write( "

Algebra.Com's Answer #631302 by fractalier(6550) $\"\"$ $\"About$

You can put this solution on YOUR website!
sec x = 1/cos x
\n" ); document.write( "but
\n" ); document.write( "sin^2 x + cos^2 = 1
\n" ); document.write( "so that
\n" ); document.write( "cos^x = 1 - sin^2 x
\n" ); document.write( "and
\n" ); document.write( "cos^x = sqrt(1 - sin^2 x)
\n" ); document.write( "and thus
\n" ); document.write( "sec x = 1/sqrt(1 - sin^2 x) \n" ); document.write( "

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