Trigonometrical Equations
easy

જો $5{\cos ^2}\theta + 7{\sin ^2}\theta - 6 = 0$, તો $\theta $ ની વ્યાપક કિમત મેળવો.

A

$2n\pi \pm \frac{\pi }{4}$

B

$n\pi \pm \frac{\pi }{4}$

C

$n\pi + {( - 1)^n}\frac{\pi }{4}$

D

એકપણ નહીં.

Solution

(b) $5 – 5{\sin ^2}\theta + 7{\sin ^2}\theta = 6$

$ \Rightarrow $ $2{\sin ^2}\theta = 1$

$ \Rightarrow $ ${\sin ^2}\theta = \frac{1}{2} = {\sin ^2}\left( {\frac{\pi }{4}} \right) $

$\Rightarrow \theta = n\pi \pm \frac{\pi }{4}$.

Standard 11
Mathematics

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