document.write( "Question 678960: How do I prove this?
\n" ); document.write( "(cot θ+tan θ)/cot θ=sec^2 θ
\n" ); document.write( "Thank you
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Algebra.Com's Answer #421710 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"%28cot+%28theta%29%2Btan+%28theta%29%29%2Fcot+%28theta%29=sec%5E2+%28theta%29\"\r
\n" ); document.write( "\n" ); document.write( "start with left side and prove that is equal to right side\r
\n" ); document.write( "\n" ); document.write( "use identities:\r
\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29=++sin%28theta%29%2Fcos%28theta%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"cot%28theta%29=+1%2Ftan%28theta%29=+cos%28theta%29%2Fsin%28theta%29\"\r
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\n" ); document.write( "\n" ); document.write( "so,\r
\n" ); document.write( "\n" ); document.write( "\"cot+%28theta%29%2Fcot%28theta%29%2Btan%28theta%29%2Fcot%28theta%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"1%2B%28sin%28theta%29%2Fcos%28theta%29%29%2F%28cos%28theta%29%2Fsin%28theta%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"1%2B%28sin%28theta%29sin%28theta%29%29%2F%28cos%28theta%29cos%28theta%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"1%2B%28sin%5E2+%28theta%29%29%2F%28cos%5E2+%28theta%29+%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"1%2B%28sin%5E2+%28theta%29%29%2F%28cos%5E2%28theta%29+%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"1+%2B+tan%5E2%28theta%29\"........use identity \"1+%2B+tan%5E2%28theta%29=+sec%5E2%28theta%29\" \r
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\n" ); document.write( "\n" ); document.write( "=\"sec%5E2%28theta%29\"
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