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Trigonometrical Equations
easy
સમીકરણ $\tan \theta = - 1$ અને $\cos \theta = \frac{1}{{\sqrt 2 }}$ નું સમાધાન કરે તેવા $\theta $ નો વ્યાપક ઉકેલ મેળવો.
A
$n\pi + \frac{{7\pi }}{4}$
B
$n\pi + {( - 1)^n}\frac{{7\pi }}{4}$
C
$2n\pi + \frac{{7\pi }}{4}$
D
એકપણ નહિ.
Solution
(c) $\tan \theta = – 1 = \tan \left( {2\pi – \frac{\pi }{4}} \right) ,$
$\cos \theta = \frac{1}{{\sqrt 2 }} = \cos \left( {2\pi – \frac{\pi }{4}} \right)$
Hence general value is $2n\pi + \left( {2\pi – \frac{\pi }{4}} \right) = 2n\pi + \frac{{7\pi }}{4}$.
Standard 11
Mathematics
