SOLUTION: Evaluate sin(cos^-1(-6/7)) showing all steps as if you didn't have a calculator.

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Question 745827: Evaluate sin(cos^-1(-6/7)) showing all steps as if you didn't have a calculator.
Answer by lwsshak3(11628) About Me  (Show Source):
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.
cos%28x%29=-6%2F7
sin%28x%29=sqrt%281-cos%5E2%28x%29%29
sin%28x%29=sqrt%281-%286%2F7%29%5E2%29
sin%28x%29=sqrt%281-%2836%2F49%29%29
sin%28x%29=sqrt%2813%2F49%29
Check: with calculator
cos(x)=-6/7
x≈149º
sin(x)=sin(149)≈0.5150
exact ans: √(13/49)≈0.5150