SOLUTION: Find the exact value of cos^-1 the quantity square root of two divided by two.

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Question 1015674: Find the exact value of cos^-1 the quantity square root of two divided by two.
Answer by ikleyn(52905) About Me  (Show Source):
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Find the exact value of cos^-1 the quantity square root of two divided by two.
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You need to find arccos%28sqrt%282%29%2F2%29.

Let alpha be that angle: cos%28alpha%29 = sqrt%282%29%2F2.

Ask yourself: what angle is this?

Surely, alpha = pi%2F4 = 45 degrees.

Answer. arccos%28sqrt%282%29%2F2%29 = pi%2F4 = 45 degrees.