Question

Say true or false:
The value of $\tan \theta (\theta <{90}^{\circ })$ increases as $\theta$ increases.

• A. True
• B. False

Answer 1

The correct option is A True

$\tan \left(0^0\right)=0$
$\tan \left({30}^0\right)=\frac{1}{\sqrt{3}}$
$\tan \left({45}^0\right)=1$
$\tan \left({60}^0\right)=\sqrt{3}$
Hence for $\theta$ $ϵ$ $[0,{90}^0]$
$\tan \theta$ increases as $\theta$ increases.