Find two exact values of sin(cos­­ˉ¹ √5/6)

To find the exact values of sin(cos­­ˉ¹ (√5/6)), we can follow these steps:

Step 1: Start by finding the value of cos­­ˉ¹ (√5/6).
- Cos­­ˉ¹ (√5/6) denotes the angle whose cosine is (√5/6).
- To find this angle, we can use the inverse cosine function (cos­­ˉ¹).
- On most calculators, you can find the inverse cosine function as "cos­­ˉ¹" or "arccos."

Step 2: Find the value of cos­­ˉ¹ (√5/6) using a calculator.
- Use a calculator to find the inverse cosine of (√5/6).
- Enter (√5/6) into the calculator and apply the inverse cosine function (cos­­ˉ¹).
- This will give you the value of the angle in radians or degrees. Let's call this value "x."

Step 3: Calculate sin(x).
- Now that we have the value of angle x, we can use the sine function to calculate sin(x).
- Use a calculator to find the sine of x (sin(x)).
- This will give you the exact value of sin(cos­­ˉ¹ (√5/6)).

Step 4: Repeat Steps 2 and 3 to find another exact value.
- In most cases, the inverse cosine function will give you multiple angle values.
- Repeat Steps 2 and 3 using the other angle value obtained from cos­­ˉ¹ (√5/6).

By following these steps, you should be able to find two exact values of sin(cos­­ˉ¹ (√5/6)).