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neonofarm [45]
3 years ago
14

Find the exact values of cos (3pi/4radians) and sin (3pi/4 Radians)

Mathematics
1 answer:
ryzh [129]3 years ago
4 0
\cos\dfrac{3\pi}{4}=\cos\left(\pi-\dfrac{\pi}{4}\right)=-\cos\dfrac{\pi}{4}=-\dfrac{\sqrt2}{2}

\sin\dfrac{3\pi}{4}=\sin\left(\pi-\dfrac{\pi}{4}\right)=\sin\dfrac{\pi}{4}=\dfrac{\sqrt2}{3}

Look at the picture.

\dfrac{\pi}{2} < \dfrac{3\pi}{4} < \pi\\\\therefoere\\\\\cos\dfrac{3\pi}{4} < 0\ and\ \sin\dfrac{3\pi}{4} > 0



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