use the unit circle to find cos^(-1)(sqrt(2)/2) in radians. remember that the domain of inverse cosine is…

use the unit circle to find cos^(-1)(sqrt(2)/2) in radians. remember that the domain of inverse cosine is limited to quadrants i and ii (the top half of the unit circle).\no a. 2pi/3\no b. pi/4\no c. pi/6\no d. 5pi/6

use the unit circle to find cos^(-1)(sqrt(2)/2) in radians. remember that the domain of inverse cosine is limited to quadrants i and ii (the top half of the unit circle).\no a. 2pi/3\no b. pi/4\no c. pi/6\no d. 5pi/6

Answer

Explanation:

Step1: Recall cosine - value on unit circle

We know that $\cos\theta=x$ on the unit circle, and we want to find $\theta$ such that $\cos\theta = \frac{\sqrt{2}}{2}$ in the domain of $[0,\pi]$ (quadrants I and II).

Step2: Identify the angle

In the unit - circle, $\cos\frac{\pi}{4}=\frac{\sqrt{2}}{2}$ and $\frac{\pi}{4}\in[0,\pi]$.

Answer:

B. $\frac{\pi}{4}$