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Trigonometrical Equations
normal
જો $\tan m\theta = \tan n\theta $, તો $\theta $ નો વ્યાપક ઉકેલ મેળવો.
A
$A. P.$
B
$G. P.$
C
$H. P.$
D
એકપણ નહિ.
Solution
(a) $\tan m\theta = \tan n\theta $
$ \Rightarrow $ $m\theta = p\pi + n\theta$
$\Rightarrow \theta = \frac{{p\pi }}{{(m – n)}}$
Hence different values of $\theta $ are in $A.P.$ with $\frac{\pi }{{m – n}}$ as common difference.
Standard 11
Mathematics
