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

Therefore:

`\begin{gathered} (x)/(2)=(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.