How do you evaluate cos(7π/4)?

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How do you evaluate cos(7π/4)?

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Answer 1 · 2016-04-12T00:58:34

$\frac{\sqrt{2}}{2}$ $sqrt2/2$

Explanation:

Trig unit circle and trig table -->
$\frac{cos (7 π)}{4} = cos (- \frac{π}{4} + \frac{8 π}{4}) = cos (- \frac{π}{4} + 2 π) =$ $cos (7pi)/4 = cos (-pi/4 + (8pi)/4) = cos (-pi/4 + 2pi) =$
$= cos (- \frac{π}{4}) = cos (\frac{π}{4}) = \frac{\sqrt{2}}{2}$ $= cos (-pi/4) = cos (pi/4) = sqrt2/2$

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How do you evaluate cos(7π/4)?

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