Question

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

Answer 1

Answer:

Therefore,

$\theta=74.11\°\ or\ \theta=254.11\°$

Step-by-step 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,

$\theta=74.11\°\ or\ \theta=254.11\°$