Find the sine value for $ frac{5pi}{6} $ on the unit circle

To find the sine value for $ \frac{5\pi}{6} $ on the unit circle, we follow these steps:

First, understand that $ \frac{5\pi}{6} $ is in the second quadrant.

The reference angle is $ \pi – \frac{5\pi}{6} = \frac{\pi}{6} $.

In the second quadrant, sine is positive, and we know:

$ \sin\left(\frac{\pi}{6}\right) = \frac{1}{2} $

Therefore,

$ \sin\left(\frac{5\pi}{6}\right) = \frac{1}{2} $

To find the sine value for $ frac{5pi}{6} $ on the unit circle, note that

$ sinleft(frac{5pi}{6}
ight) = sinleft(pi – frac{pi}{6}
ight) $

Since

$ sinleft(pi – x
ight) = sin(x) $

we have

$ sinleft(frac{5pi}{6}
ight) = sinleft(frac{pi}{6}
ight) $

Thus,

$ sinleft(frac{5pi}{6}
ight) = frac{1}{2} $

To find the sine value for $ frac{5pi}{6} $ on the unit circle, we use

$ sinleft(frac{5pi}{6}
ight) = frac{1}{2} $

Start Using PopAi Today