document.write( "Question 65309: Solve an interval {hint: [0,2pie)} sinx + cosxcotx= 1/sinx? \n" ); document.write( "

Algebra.Com's Answer #45939 by amran(4) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ans: x can take any value because the expression is an identity.
\n" ); document.write( "Proof:
\n" ); document.write( "LHS = $\"+sin%28x%29+%2B+cos%28x%29cot%28x%29+\"$
\n" ); document.write( "= $\"+sin%28x%29+%2B+cos%28x%29cos%28x%29%2Fsin%28x%29+\"$
\n" ); document.write( "= $\"+sin%28x%29+%2B+%28cos%28x%29%29%5E2+%2Fsin%28x%29+\"$
\n" ); document.write( "= $\"+%28%28sin%28x%29%29%5E2+%2B+%28cos%28x%29%29%5E2%29%2Fsin%28x%29+\"$
\n" ); document.write( "= $\"+1%2Fsin%28x%29+\"$
\n" ); document.write( "= RHS \n" ); document.write( "

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