Find the Quadrant of the Angle -(11pi)/6

Problem

−(11*π)/6

Solution

1. Convert to a positive coterminal angle by adding 2*π to the given angle to find its position within the standard 0 to 2*π range.

−(11*π)/6+2*π

2. Find a common denominator to perform the addition.

−(11*π)/6+(12*π)/6

3. Simplify the expression to find the coterminal angle.

π/6

4. Identify the quadrant by comparing the angle to the standard quadrant boundaries: Quadrant I is 0<θ<π/2

0<π/6<π/2

Final Answer

Quadrant of −(11*π)/6=Quadrant I

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