Question

Solve in degrees. 0 < θ < 360
1. tan θ = 3.5134

Answer 1

Therefore,

`\theta=74.11\°\ or\ \theta=254.11\°`

Explanation:

Given:

0° < θ < 360°

tan θ = 3.5134

To Find:

θ in degrees = ?

Solution:

0° < θ < 360° .............Given

Means ' θ ' is between 0° and 360°

`\tan \theta=3.5134` .............Given

Therefore,

`\theta=\tan^(-1) (3.5134)`

Also,

`\tan (180+\theta)=\tan \theta`

So ' θ ' will have Two values for tan θ =3.5134

`\therefore \theta=74.11\°\ or\ \theta=180+74.11=254.11\°`

Therefore,

`\theta=74.11\°\ or\ \theta=254.11\°`