Question

I need help with this equation Tan 2B= Cot2B

Answer 1

We know that Cot # = 1/Tan#

Thus, the equation would be

Tan 2B = 1/Tan2B

`\begin{gathered} \text{Tan}2B\text{ }* Tan2B\text{ = 1} \\ \text{Tan}^22B\text{ = 1} \\ \text{Taking square root of both sides, it becomes} \\ \text{Tan}2B\text{ = }\sqrt[]{1}\text{ = 1} \\ 2B\text{ = }\tan ^(-1)(1) \\ 2B\text{ = 45} \\ B\text{ = }(45)/(2) \\ B\text{ = 22.5} \end{gathered}`

B = 22.5 degrees