Question

Say true or false:

The value of $\sin \theta$ is $a+\frac{1}{a}$, where $a$ is a positive number.

• A. True
• B. False

Answer 1

The correct option is B False

$(a+\frac{1}{a})ϵ[-2,2]-\left\{0\right\}$
However
$-1\le sin\theta \le 1$
Hence
$sin\theta$ can never be equal to $a+\frac{1}{a}$ for all $aϵR$.