Question

Solve the equation tan2B = 1 given that 0

Answer 1

Explanation

we need to isolate the angle, so

Step 1

$\tan ^2\beta=1$

get the square root in both sides

$\begin{gathered} \tan ^2\beta=1 \\ \sqrt{\tan^2\beta}=\sqrt{1} \\ \tan \text{ }\beta=1 \end{gathered}$

Step 2

now, to isolate the angle we need to get the inverse tan in both sides

$\begin{gathered} \tan \text{ }\beta=1 \\ \tan ^{-1}(\tan \text{ }\beta)=\tan ^{-1}(1) \\ \beta=45 \end{gathered}$

*in step 1 the tan of the angle equals -1 as well, but this solution leads to the thir

x