Question

How do you find the point (x,y) on the unit circle that corresponds to the real number `t=(4pi)/3`?

Answer 1

Point `(x,y)` on unit circle corresponding to `(4pi)/3` is `(-1/2,-sqrt3/2)`

Explanation:

Just remember that coordinates on the unit circle can be derived using:

(x, y) = (cos A, sin A), where A is the measurement of the angle.

In this case, `A = (4pi)/3`. Now, you can plug in A into (cos A, sin A) to find the x and y coordinates of the answer. Just make sure to set your calculator to radians, since `(4pi)/3` is in radians.

Using this point `(x,y)` on unit circle corresponding to `(4pi)/3` is `(cos((4pi)/3),sin((4pi)/3))` i.e. `(-1/2,-sqrt3/2)`

I hope that helps!