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November 29, 2014

November 29, 2014

Posted by **Hannah** on Wednesday, March 17, 2010 at 11:25pm.

cos pi/9 cos pi/3 - sin pi/9 sin pi/3

I do not know how to solve this because pi/9 is not on the unit circle.

- Math -
**Reiny**, Wednesday, March 17, 2010 at 11:35pmbut it gave you a hint, ...

cos(A+B) = cosAcosB - sinAsinB

does the right side not follow the pattern of your question?

so ...

cos pi/9 cos pi/3 - sin pi/9 sin pi/3

= cos(pi/9 + pi/3)

= cos(4pi/9)

You are right, 4pi/9 radians, or 80 degrees, is not one of the standard angles on the unit circle, nor is it obtainable using combinations of our standard angles.

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