Find the conterminal angle of 7pi/6

Positive and negative

That would be, of course,

7π/6 + 2π
7π/6 - 2π

To find the coterminal angle of an angle given in radians, you can add or subtract any multiple of 2π (or 360 degrees) to the angle.

In this case, the given angle is 7π/6. To find its coterminal angle, we can add or subtract multiples of 2π (or 360 degrees).

Since 7π/6 is less than 2π, we can find the coterminal angle by adding 2π.

coterminal angle = 7π/6 + 2π

To simplify, we can convert 7π/6 to a fraction with a common denominator of 6:

7π/6 + 12π/6

Adding the fractions, we have:

19π/6

Therefore, the coterminal angle of 7π/6 is 19π/6.