As mentioned during our class earlier, here are the questions for our activity on The Circular Functions.
 
Instruction: Use reference angles to determine the exact values of the following circular functions.
 
1) cos 5π/6

To determine the exact value of \(\cos\left(\frac{5\pi}{6}\right)\) using reference angles, follow these steps:

### Step 1: Identify the quadrant
The angle \(\frac{5\pi}{6}\) is in the second quadrant because:
- \(\frac{5\pi}{6}\) is greater than \(\frac{\pi}{2}\) and less than \(\pi\).

### Step 2: Find the reference angle
The reference angle \(\theta_r\) is the acute angle formed with the x-axis. For an angle \(\theta\) in the second quadrant, the reference angle is:
\[
\theta_r = \pi - \theta
\]
Substituting \(\theta = \frac{5\pi}{6}\):
\[
\theta_r = \pi - \frac{5\pi}{6} = \frac{\pi}{6}
\]

### Step 3: Use the cosine of the reference angle
The cosine of the reference angle \(\frac{\pi}{6}\) is:
\[
\cos\left(\frac{\pi}{6}\right) = \frac{\sqrt{

As mentioned during our class earlier, here are the questions for our activity on The Circular Functions.

Instruction: Use reference angles to determine the exact values of the following circular functions.

1) cos 5π/6

Learn how to calculate the exact value of cos(5π/6) using reference angles. This detailed solution walks you through identifying the quadrant, finding the reference angle, and using the unit circle properties. Suitable for high school students in Grades 10-12.

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