document.write( "Question 745827: Evaluate sin(cos^-1(-6/7)) showing all steps as if you didn't have a calculator. \n" ); document.write( "

Algebra.Com's Answer #454024 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Evaluate sin(cos^-1(-6/7)) showing all steps as if you didn't have a calculator.
\n" ); document.write( " $\"cos%28x%29=-6%2F7\"$
\n" ); document.write( " $\"sin%28x%29=sqrt%281-cos%5E2%28x%29%29\"$
\n" ); document.write( " $\"sin%28x%29=sqrt%281-%286%2F7%29%5E2%29\"$
\n" ); document.write( " $\"sin%28x%29=sqrt%281-%2836%2F49%29%29\"$
\n" ); document.write( " $\"sin%28x%29=sqrt%2813%2F49%29\"$
\n" ); document.write( "Check: with calculator
\n" ); document.write( "cos(x)=-6/7
\n" ); document.write( "x≈149º
\n" ); document.write( "sin(x)=sin(149)≈0.5150
\n" ); document.write( "exact ans: √(13/49)≈0.5150 \n" ); document.write( "

\n" );