document.write( "Question 1188496: prove tan^2(theta)sin^2(theta)=tan^2(theta)+cos^2(theta)-1 \n" ); document.write( "
Algebra.Com's Answer #819592 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "prove \r
\n" ); document.write( "\n" ); document.write( "\"tan%5E2%28theta%29sin%5E2%28theta%29=tan%5E2%28theta%29%2Bcos%5E2%28theta%29-1\"\r
\n" ); document.write( "\n" ); document.write( "manipulate left side\r
\n" ); document.write( "\n" ); document.write( "\"tan%5E2%28theta%29sin%5E2%28theta%29\"...........use identity \"sin%5E2%28theta%29=1-cos%5E2%28theta%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"tan%5E2%28theta%29%281-cos%5E2%28theta%29%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"tan%5E2%28theta%29-tan%5E2%28theta%29cos%5E2%28theta%29\"........use identity \"tan%5E2%28theta%29=sin%5E2%28theta%29%2Fcos%5E2%28theta%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"tan%5E2%28theta%29-%28sin%5E2%28theta%29%2Fcos%5E2%28theta%29%29cos%5E2%28theta%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"tan%5E2%28theta%29-sin%5E2%28theta%29\" ........use identity \"sin%5E2%28theta%29=1-cos%5E2%28theta%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"tan%5E2%28theta%29-+%281-cos%5E2%28theta%29%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"tan%5E2%28theta%29-+1%2Bcos%5E2%28theta%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"tan%5E2%28theta%29%2Bcos%5E2%28theta%29-1\"\r
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