document.write( "Question 916596: Verify the identity sinx(cscx+sinx〖sec〗^2 x)=〖sec〗^2 x \n" ); document.write( "
Algebra.Com's Answer #556151 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"sin%28x%29%28csc%28x%29%2Bsin%28x%29%2Asec%5E2%28x%29%29=sec%5E2%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28sin%28x%29%28csc%28x%29%2Bsin%28x%29%2Asec%5E2%28x%29%29%29\" ....prove it's equal to right side\r
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\n" ); document.write( "\n" ); document.write( "we know that \"csc%28x%29=1%2Fsin%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "then we have\r
\n" ); document.write( "\n" ); document.write( "=\"sinx%281%2Fsin%28x%29+%2Bsinx%2Asec%5E2+%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"sinx%281%2Fsin%28x%29+%2B%28sin%28x%29%2Asin%28x%29%2Asec%5E2%28x%29%29%2Fsin%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"sin%28x%29%281%2Fsin%28x%29+%2B%28sin%5E2%28x%29%2Asec%5E2%28x%29%29%2Fsin%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\r
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\n" ); document.write( "\n" ); document.write( "=\"1%2Bsin%5E2%28x%29%2Asec%5E2%28x%29\"......\"sin%5E2%28x%29%2Asec%5E2%28x%29=tan%5E2%28x%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"1%2Btan%5E2%28x%29\" ....use Pythagorean Identities =>\"1%2Btan%5E2%28x%29=sec%5E2%28x%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"highlight%28sec%5E2%28x%29+%29\"\r
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