A) \[n\pi +\frac{\pi }{4},n\pi +\frac{\pi }{3}\]
B) \[n\pi -\frac{\pi }{4},n\pi +\frac{\pi }{3}\]
C) \[n\pi +\frac{\pi }{4},n\pi -\frac{\pi }{3}\]
D) \[n\pi -\frac{\pi }{4},n\pi -\frac{\pi }{3}\]
Correct Answer: A
Solution :
\[{{\tan }^{2}}\theta -\tan \theta -\sqrt{3}\tan \theta +\sqrt{3}=0\] \[\Rightarrow \] \[\tan \theta (\tan \theta -1)-\sqrt{3}(\tan \theta -1)=0\] \[\Rightarrow \]\[(\tan \theta -\sqrt{3})\,\,(\tan \theta -1)=0\]\[\Rightarrow \]\[\theta =n\pi +\frac{\pi }{3}\], \[n\pi +\frac{\pi }{4}\].
You need to login to perform this action.
You will be redirected in
3 sec
