Trigonometrical Equations
easy

त्रिकोणमितीय समीकरण $\tan \theta  = \cot \alpha $ का व्यापक हल है

A

$\theta = n\pi + \frac{\pi }{2} - \alpha $

B

$\theta = n\pi - \frac{\pi }{2} + \alpha $

C

$\theta = n\pi + \frac{\pi }{2} + \alpha $

D

$\theta = n\pi - \frac{\pi }{2} - \alpha $

Solution

(a) $\tan \theta = \cot \alpha$

$\Rightarrow \tan \theta = \tan \left( {\frac{\pi }{2} – \alpha } \right)$

$ \Rightarrow $ $\theta = n\pi + \frac{\pi }{2} – \alpha $.

Standard 11
Mathematics

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