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$\cos 2\theta + 2\cos \theta$ हमेशा

यदि $\cos A + \cos B + \cos C = 0$ और $\sin A + \sin B + \sin C = 0$ है,तो $\cos (A - B) + \cos (B - C) + \cos (C - A)$ का मान ज्ञात कीजिए।

यदि $\sin \theta_1 + \sin \theta_2 + \sin \theta_3 = 3$ है,तो $\cos \theta_1 + \cos \theta_2 + \cos \theta_3 =$ क्या होगा?

अंतराल $\left[ -\frac{5 \pi}{12}, -\frac{\pi}{3} \right]$ में फलन $f(x) = \tan \left(x + \frac{2 \pi}{3} \right) - \tan \left(x + \frac{\pi}{6} \right) + \cos \left(x + \frac{\pi}{6} \right)$ का अधिकतम मान है

$\left(2 \cos^2 18^{\circ} - \sin 18^{\circ}\right) \left(\cos \theta + 3 \sqrt{2} \cos \left(\theta + \frac{\pi}{4}\right) + 3\right)$ का अधिकतम मान है

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