Trigonometric Equations Question 52

Question: Values of $ \theta (0<\theta <360^{o}) $ satisfying $ cosec\theta +2=0 $ are

[EAMCET 1994]

Options:

A) $ 210^{o},300^{o} $

B) $ 240^{o},300^{o} $

C) $ 210^{o},240^{o} $

D) $ 210^{o},330^{o} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \text{cosec }\theta +2=0 $
    $ \Rightarrow $ $ \sin \theta =-\frac{1}{2} $
    $ \Rightarrow $ $ \theta =210{}^\circ $ or $ 330{}^\circ $ .