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

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

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Answer 1 · 2018-06-07T18:05:42

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Explanation:

We know that $csc x = \frac{1}{sin x}$ $cscx=1/sinx$

In this case, we have $sin (\frac{π}{3}) = sin 60$ $sin (pi/3)=sin60$

By other hand we know that $sin 60 = sin (\frac{π}{3}) = \frac{\sqrt{3}}{2}$ $sin60=sin(pi/3)=sqrt3/2$

Then we have finally $csc 60 = \frac{1}{sin 60} = \frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}} = \frac{2 \sqrt{3}}{3}$ $csc60=1/sin60=1/(sqrt3/2)=2/sqrt3=(2sqrt3)/3$

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

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