MCQ
$E = sin \theta + cos \theta + sin2 \theta$ ની મહતમ કિમત મેળવો
- A$\tan \frac{\pi }{4}$
- B$\tan \frac{\pi }{3}$
- C$\tan \frac{\pi }{8}$
- ✓$\tan \frac{3\pi }{8}$
Let $t=\sin \theta+\cos \theta$
$-\sqrt{2} \leq t \leq \sqrt{2}$
$E=t+t^{2}-1$
$=\left(t+\frac{1}{2}\right)^{2}-\frac{5}{4} $
$\Rightarrow E_{\max }=\left(\sqrt{2}+\frac{1}{2}\right)^{2}-\frac{5}{4}$
$=1+\sqrt{2}=\tan \frac{3 \pi}{8}$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.