What is the value of $cos (7 \frac{π}{4})$ $cos(7pi/4)$ ?

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What is the value of $cos (7 \frac{π}{4})$ $cos(7pi/4)$ ?

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Answer 1 · 2015-04-16T01:12:40

Looking at the angle:
enter image source here
$7 \frac{π}{4}$ $7pi/4$ is the same as $- \frac{π}{4}$ $-pi/4$ and $cos$ $cos$ is an even function so:
$cos (- x) = cos (x)$ $cos(-x)=cos(x)$
So:
$cos (7 \frac{π}{4}) = cos (- \frac{π}{4}) = cos (\frac{π}{4}) = \frac{\sqrt{2}}{2}$ $cos(7pi/4)=cos(-pi/4)=cos(pi/4)=sqrt(2)/2$

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What is the value of $cos (7 \frac{π}{4})$ $cos(7pi/4)$ ?

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