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