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

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

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Answer 1 · 2016-11-30T13:36:46

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

Explanation:

$sin [\frac{3 π}{4}] = sin [\frac{3 \cdot 180}{4}]$ $sin[(3pi)/4]= sin [(3*180)/4]$ = sin 135 degree
sin(90+45) degree = cos 45 degree = $\frac{1}{\sqrt{2}}$ $1/sqrt2$

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

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