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Len [333]
3 years ago
10

Which angle forms a y-coordinate on a unit circle of /~3/2 (square root of 3 over 2)

Mathematics
1 answer:
mixer [17]3 years ago
3 0

Answer:

\theta=60\degree

Or

\theta=\frac{\pi}{3}


Step-by-step explanation:

We want to find the angle which forms a y-coordinate of \frac{\sqrt{3} }{2}

on the unit circle.


The y-coordinate on the unit circle is given by \sin(\theta).


This implies that  \sin(\theta)=\frac{\sqrt{3} }{2}


\Rightarrow \theta=\sin^{-1}(\frac{\sqrt{3} }{2})


\Rightarrow \theta=\sin^{-1}(\frac{\sqrt{3} }{2})


\Rightarrow \theta=60\degree

Or

\theta=\frac{\pi}{3}



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