Question

The value of tan A is always less than 1.
A. True
B. False

Answer 1

Hint-In this particular type of question we need to check the range of $\tan \theta$ and then check if the given equation holds true .

Complete step-by-step answer:
The graph of tanx is given as :

The range of $\tan \theta$ lies from $\left( { - \infty , + \infty } \right)$ . Thus the value of tanA is not always less than 1 .
Therefore the statement is false .
Note-Remember that $\tan \theta = \dfrac{{\sin \theta }}{{\cos \theta }}$ , therefore, you will have a vertical asymptote whenever$\cos \theta = 0$ . $\cos \theta = 0$ for every odd multiple of $\dfrac{\pi }{2}$ . If you plug $y = \operatorname{tanx}$ into a graphing calculator you will see that the ends of each section continue on infinitely along the y-axis .