Question

Which value is a solution for the equation cot a = ? O O A. 3 O B. 37 O c 4 o DD. D.

Answer 1

First, we compute the arccot of both sides of the equation:

$\cot ^{-1}(\cot \frac{x}{2})=\cot ^{-1}0=\frac{1}{2}(\pi+2\pi n)\text{.}$

Therefore:

$\begin{gathered} \frac{x}{2}=\frac{1}{2}(\pi+2n\pi), \\ x=\pi+2n\pi\text{.} \end{gathered}$

For n=1:

$x=\pi+2\pi=3\pi\text{.}$

Answer: Option B.