Question

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

Answer 1

Answer:

its 60 degrees

Step-by-step explanation:

a p e x 2021

Answer 2

Answer:

The measure of $\theta$ is 30°.

Step-by-step 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 $\left(\frac{\sqrt{3}}{2}, \frac{1}{2} \right)$. 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:

$\theta = \tan^{-1}\left(\frac{y}{x} \right)$ (1)

If we know that $x = \frac{\sqrt{3}}{2}$ and $y = \frac{1}{2}$, then the measure of $\theta$ is:

$\theta = \tan^{-1} \frac{\sqrt{3}}{3}$

$\theta = 30^{\circ}$

The measure of $\theta$ is 30°.