SOLUTION: How do I solve this? Use the exact values of the sine and cosine of 2π/3 and π /4, and the angle sum identity for sine, to find the exact value of sin(11 π /12).

Question 873813: How do I solve this? Use the exact values of the sine and cosine of 2π/3 and π /4, and the angle sum identity for sine, to find the exact value of sin(11 π /12).
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The angle sum identity for sine is

Since ,
you can use the angle sum identity (above),
and the values for sine and cosine of and
to find .
and are easy. is ,
and .

is a little harder because it is in quadrant II.

So, applying with and

=
That could be "simplified" different ways:

Those expressions are the exact value of
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SOLUTION: How do I solve this? Use the exact values of the sine and cosine of 2&#960;/3 and &#960; /4, and the angle sum identity for sine, to find the exact value of sin(11 &#960; /12).

SOLUTION: How do I solve this? Use the exact values of the sine and cosine of 2π/3 and π /4, and the angle sum identity for sine, to find the exact value of sin(11 π /12).