Question

What is tan11pi/6 ? Fraction

Answer 1

11pi/6 is in 4th quadrant.

The reference angle is pi/6 because 11pi/6 is pi/6 radians away from 'x' axis.

In 4th quadrant, sin is negative and cos is positive, therefore tan is negative.

This means:

`tan((11\pi)/(6)) = -tan((\pi)/(6)) = -(sin(\pi/6))/(cos(\pi/6)) = -((1)/(2))/((√(3))/(2)) = -(1)/(√(3)) = -(√(3))/(3)`