Question

Please answer the following question below: (as fast as possible please!)

Answer 1

Given

`cot^2((\pi)/(2)x)=3`

To find the value of x.

Step-by-step explanation:

It is given that,

`cot^2((\pi)/(2)x)=3`

Taking square root on both sides,

`\begin{gathered} cot^((\pi)/(2)x)=\pm√(3) \\ cot((\pi)/(2)x)=√(3),cot((\pi)/(2)x)=-√(3) \end{gathered}`

Consider,

`\begin{gathered} cot((\pi)/(2)x)=√(3) \\ \Rightarrow(\pi)/(2)x=(\pi)/(6),x\\otin2n,n\in Z. \end{gathered}`

Then, the general solution is,