SOLUTION: What is the exact value of sine of 13pie/12 ?
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Question 738265: What is the exact value of sine of 13pie/12 ?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What is the exact value of sine of 13pie/12 ?
**
(in Q3 where sin <0)
Use sin half-angle formula to solve:
sin(π/12)=sin((π/6)/2)
=±√(1-cos(π/6)/2)
=-√(1-(√3/2)/2)
=-√(2-√3/4)
=-√(2-√3)/2
Check with calculator:
sin(13π/12)≈-0.2588..
-√(2-√3)/2≈-0.2588..
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