Trigonometrical Ratios and Identities 1 Question 17
17. 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
Objective Questions II
(One or more than one correct option)
Show Answer
Answer:
Correct Answer: 17. (c, d)
Solution:
- Since, $\tan \theta<0$.
$\therefore$ Angle $\theta$ is either in the second or fourth quadrant.
Then, $\quad \sin \theta>0$ or $<0$
$\therefore \sin \theta$ may be $\frac{4}{5}$ or $-\frac{4}{5}$
