Question

The value of $\tan A$ is always less than 1. Enter $1$ for true and $0$ for false.

Answer 1

for $\theta \in (0,\frac{\pi }{2})$

$0<tan\left(\theta \right)<1\forall \theta \in (0,\frac{\pi }{4})$

$1<tan\left(\theta \right)<\infty \forall \theta \in (\frac{\pi }{4},\frac{\pi }{2})$