Trigonometry
Determine the exact value of the given inverse trigonometric function without using a calculator.
y=cot−1(−33)+cot−1(−3)y=\cot^{-1}\left(-\frac{\sqrt3}{3}\right)+\cot^{-1}\left(-\sqrt3\right)y=cot−1(−33)+cot−1(−3)
y=2π3y=\frac{2\pi}{3}y=32π
y=3π2y=\frac{3\pi}{2}y=23π
y=7π3y=\frac{7\pi}{3}y=37π
y=7π6y=\frac{7\pi}{6}y=67π