document.write( "Question 1203814: Evaluate the expression without using a calculator.
\n" ); document.write( "cos(sin^-1(1/2)) \n" ); document.write( "

Algebra.Com's Answer #839656 by MathLover1(20850) $\"\"$ $\"About$

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Evaluate the expression without using a calculator.\r
\n" ); document.write( "\n" ); document.write( " $\"+cos%28sin%5E-1%281%2F2%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "let $\"+sin%5E-1%281%2F2%29=x\"$ \r
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\n" ); document.write( "\n" ); document.write( " then $\"+sin%28x%29=1%2F2\"$ \r
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\n" ); document.write( "\n" ); document.write( "then use identity $\"+cos%28x%29=sqrt%281-sin%5E2%28x%29%29\"$ and substitute sin\r
\n" ); document.write( "\n" ); document.write( " $\"+cos%28x%29=sqrt%281-%281%2F2%29%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+cos%28x%29=sqrt%281-1%2F4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+cos%28x%29=sqrt%283%2F4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+cos%28x%29=sqrt%283%29%2Fsqrt%284%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+cos%28x%29=sqrt%283%29%2F2\"$ \r
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