Question

On a unit circle, the terminal point of 0 is (sqrt3/2,1/2)

What is 0?

Answer 1

its 60 degrees

Explanation:

a p e x 2021

Answer 2

The measure of
`\theta` is 30°.

Explanation:

In the statement, the angle has been misrepresented. The corrected statement is described below:

"On a unit circle, the terminal point of
`\theta` is
`\left((√(3))/(2), (1)/(2) \right)`. What is
`\theta`?"

The measure of the angle (
`\theta`), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form
`(x,y)` is determined by the following inverse trigonometric function:

`\theta = \tan^(-1)\left((y)/(x) \right)` (1)

If we know that
`x = (√(3))/(2)` and
`y = (1)/(2)`, then the measure of
`\theta` is:

`\theta = \tan^(-1) (√(3))/(3)`

`\theta = 30^(\circ)`

The measure of
`\theta` is 30°.