document.write( "Question 516659: Multiply and simplify\r
\n" ); document.write( "\n" ); document.write( "(sin θ + cos θ) (sin θ + cos θ) - 1 / sin θ \n" ); document.write( "

Algebra.Com's Answer #344874 by Aswathy(23) $\"\"$ $\"About$

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(sin θ + cos θ) (sin θ + cos θ) - 1 / sin θ
\n" ); document.write( "=[(sinθ+cosθ)^2-1]/sinθ
\n" ); document.write( "=[sin^2+2cosθsinθ+cos^2-1]/sinθ
\n" ); document.write( "=[1-1+2cosθsinθ]/sinθ (using the identity sin^2θ+cos^2θ=1)
\n" ); document.write( "=2cosθsinθ/sinθ
\n" ); document.write( "=2sinθ (by canceling out common factors) \n" ); document.write( "

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