Question

Solve the equation tan2B = 1 given that 0

Answer 1

Step-by-step 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 \\ √(\tan^2\beta)=√(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