How do you find the exact value of the expression $cos (\frac{π}{3}) - sin (\frac{π}{4})$ $cos(pi/3)-sin(pi/4)$ ?

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Answer 1 · 2015-02-17T13:48:22

Consider your angles and their relation with special triangles:

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So, in your case you can write:
$\frac{1}{2} - \frac{\sqrt{2}}{2} = \frac{1 - \sqrt{2}}{2}$ $1/2-sqrt(2)/2=(1-sqrt(2))/2$

hope it helps

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