Question

If $tan \theta=-\frac{4}{3},$ then $sin \theta$ is

• A. $-\frac{4}{5} but not \frac{4}{5}$
• B. $-\frac{4}{5} or \frac{4}{5}$
• C. $-\frac{4}{5} but not -\frac{4}{5}$
• D. None of the above

Answer 1

Answer: (B)

Since, $tan \theta < 0.$
$\therefore Angle \theta \text{ is either in the second or fourth quadrant.}$
Then, $ sin \theta > 0 or < 0$
$\therefore sin \theta may be \frac{4}{5} or -\frac{4}{5}$