document.write( "Question 1080511: How do you prove that sin^2 theta equals (sec^2 theta)(cos^2 theta) minus 1/sec^2theta is an identity \n" ); document.write( "
Algebra.Com's Answer #694675 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "start withe right side and get to left side:\r
\n" ); document.write( "\n" ); document.write( "\"%28sec%5E2+%28theta%29%29%28cos%5E2+%28theta%29%29+-1%2Fsec%5E2%28theta%29\"\r
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\n" ); document.write( "\n" ); document.write( "since \"sec%5E2%28theta%29+=+%281%2F%28cos%5E2%28theta%29%29%29\", we have\r
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\n" ); document.write( "\n" ); document.write( "\"1+-cos%5E2%28theta%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+sin%5E2+%28theta%29\"\r
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