3 years ago

Please help me please

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

3 0

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

san4es73 [151]

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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:

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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°.

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