Solve for x x=(7pi)/6

Problem

x=(7*π)/6

Solution

1. Identify the given value as an angle x measured in radians.

2. Determine the quadrant of the angle by comparing it to standard values. Since π<(7*π)/6<(3*π)/2 the angle lies in the third quadrant.

3. Calculate the reference angle by subtracting π from the given angle.

(x_ref)=(7*π)/6−π

(x_ref)=π/6

4. Convert the angle to degrees if required for clarity by multiplying by 180/π

x=(7*π)/6⋅180/π

x=210

Final Answer

x=(7*π)/6=210

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