Simplify (11pi)/6

Problem

(11*π)/6

Solution

1. Identify the angle in radians. The expression (11*π)/6 is already in its simplest fractional form because 11 and 6 share no common factors other than 1.

2. Determine the coterminal angle within the standard range [0,2*π) Since 0≤(11*π)/6<2*π the value is already within the primary rotation.

3. Convert to degrees if necessary for visualization. To convert radians to degrees, multiply by 180/π

(11*π)/6⋅180/π=330

4. Find the reference angle. Since the angle is in the fourth quadrant, the reference angle is 2*π−(11*π)/6

2*π−(11*π)/6=π/6

Final Answer

(11*π)/6=330

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