# Math Help - Analytic Trig question 2

1. ## Analytic Trig question 2

Find the value of each expression.

32) cot[cos^-1((sqrt3)/3)]

40) (csc^-1)(sqrt2)

2. ## Trig

Hello kukid123

Originally Posted by kukid123
Find the value of each expression.

32) cot[cos^-1((sqrt3)/3)]

40) (csc^-1)(sqrt2)
32) Let $\cos^{-1}\frac{\sqrt{3}}{3}=\theta$. Use $\sec \theta = \frac{1}{\cos \theta}$ and then $\sec^2 \theta = 1+ \tan^2 \theta$. Solve for $\tan \theta$, and then use $\cot \theta = \frac{1}{\tan\theta}$

40) Use $\csc \theta=\frac{1}{\sin \theta}$ and there's no problem.