# How do you find the two quadrants that theta could terminate given tantheta=7/24?

Feb 24, 2018

Hence $\tan \theta$ is positive in I and III quadrants for values of theta.

${\tan}^{-} 1 \left(\frac{7}{24}\right) = {0.2838}^{c}$ or ${16.26}^{\circ} , {196.26}^{\circ}$

#### Explanation:

As May be seen from the chart above,

$\tan \theta$ is positive in I and III quadrants.

$\tan \left(\pi + \theta\right) = \tan \theta$

Hence $\tan \theta$ is positive in I and III quadrants for values of theta. ${\tan}^{-} 1 \left(\frac{7}{24}\right)$

$\theta = {\tan}^{-} 1 \left(\frac{7}{24}\right) = {0.2838}^{c}$ or ${16.26}^{\circ} , {196.26}^{\circ}$