document.write( "Question 602442: Hi. Please help me verify this equation as an identity:\r
\n" ); document.write( "\n" ); document.write( "\"sec%28theta%29%2Ftan%28theta%29\" + \"%281+-+tan%28theta%29%29%2Fsec%28theta%29\" = \"%281%2Btan%28theta%29%29%2F%28sec%28theta%29tan%28theta%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "I have been trying to work on this for an hour now but I always end up with 1/sin theta = 1, or csc theta = 1, and obviously that's not the right answer.\r
\n" ); document.write( "\n" ); document.write( "Please show me how to do this properly since my teacher only speaks to the white board...\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #380243 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
sec theta/tan theta + (1 - tan theta)/sec theta = (1+tan theta)/(sec theta)(tan theta)
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\n" ); document.write( "sec/tan + (1 - tan)/sec = (1 + tan)/(sec*tan) (I'll assume the last den is sec*tan)
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\n" ); document.write( "Multiply thru by sec
\n" ); document.write( "sec^2/tan + 1 - tan = (1 + tan)/tan = cot + 1
\n" ); document.write( "sec^2/tan + 1 - tan = cot + 1
\n" ); document.write( "Multiply by tan
\n" ); document.write( "sec^2 + tan = 1 + tan
\n" ); document.write( "Not an identity.
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\n" ); document.write( "You need to make it clear, add parentheses to eliminate guessing at what the terms are.
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