What is the value of $cos (\frac{π}{8} + \frac{π}{8})$ $cos(pi/8 + pi/8)$ ?

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What is the value of $cos (\frac{π}{8} + \frac{π}{8})$ $cos(pi/8 + pi/8)$ ?

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Answer 1 · 2016-07-16T18:21:50

$\frac{1}{\sqrt{2}}$ $1/sqrt2$

Explanation:

$cos (\frac{π}{8} + \frac{π}{8}) = cos (\frac{2 π}{8}) = cos (\frac{π}{4})$ $cos(pi/8+pi/8)=cos((2pi)/8)=cos(pi/4)$

and $cos (\frac{π}{4}) = \frac{1}{\sqrt{2}}$ $cos(pi/4)=1/sqrt2$

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What is the value of $cos (\frac{π}{8} + \frac{π}{8})$ $cos(pi/8 + pi/8)$ ?

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What is the value of $cos (\frac{π}{8} + \frac{π}{8})$ $cos(pi/8 + pi/8)$ ?