SOLUTION: Sine theta = cos(2 theta-10)

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Question 1012843: Sine theta = cos(2 theta-10)
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
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Sine theta = cos(2 theta-10)
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sin%28theta%29 = cos%282%2Atheta-10%29.   (1)

I don't know exactly what is 10: radians or degrees? Will suppose degrees.

We all know that

sin%28theta%29%29%29 = cos%2890%5Eo-theta%29.

Combining this with (1), you will get

cos%282%2Atheta-10%5Eo%29 = cos%2890%5Eo-theta%29.

It implies that 

2%2Atheta-10%5Eo = 90%5Eo-theta.   (2)

Not exactly, because you should remember about +/-2k%2Api and other similar additional terms, 
but I am going to give only the "naive" solution here.

From (2) you have

3%2Atheta = 90° +10° = 100°.   Hence theta = 1%2F3.100°.