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Trigonometrical Equations
medium
यदि $\cot \theta + \tan \theta = 2{\rm{cosec}}\theta $, तो $\theta $ के व्यापक मान हैं
A
$n\pi \pm \frac{\pi }{3}$
B
$n\pi \pm \frac{\pi }{6}$
C
$2n\pi \pm \frac{\pi }{3}$
D
$2n\pi \pm \frac{\pi }{6}$
Solution
(c) $\cot \theta + \tan \theta = 2{\rm{ cosec}}\theta $
==> $\frac{2}{{\sin \theta }} = \frac{1}{{\sin \theta \cos \theta }}$
$ \Rightarrow $ $\cos \theta = \frac{1}{2}$ या $\sin \theta = 0$
$ \Rightarrow $ $\theta = 2n\pi \pm \frac{\pi }{3}$ या $\theta = n\pi $.
Standard 11
Mathematics
