MCQ
$f(\theta)=(\sec\theta+\cos ec\theta)^2+(\cos\theta+\sec\theta)^2$ તો $f(\theta)....$ થી નાનું ન હોય.
- A23
- B32
- C11
- ✓9
$f(\theta)=(\sin\theta+\cos ec\theta)^2+(\cos\theta+\sec\theta)^2$
$=\sin^2\theta+\cos^2\theta+\sec^2\theta+\cos ec^2\theta+4$
$=\sin^2\theta+\cos^2\theta+1+\tan^2\theta+1+\cot^2\theta+4$
$=7+\tan^2\theta+\cot^2\theta$
$=9+\tan^2\theta-2+\cot^2\theta$
$=(\tan\theta-\cot\theta)^2+9\geq9$
નોંધ $:\theta=\frac{\pi}{4}$ માટે મૂલ્ય $9$ બને.
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