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कुछ $a, b, c \in R$ के लिए,यदि $\sin 5 \theta = a \cos^4 \theta \sin \theta + b \cos^2 \theta \sin^3 \theta + c \sin^5 \theta$ है,तो $abc =$

यदि $90^\circ < A < 180^\circ$ और $\sin A = \frac{4}{5}$ है,तो $\tan \frac{A}{2}$ का मान ज्ञात कीजिए।

$\cos \frac{\pi}{2^2} \cdot \cos \frac{\pi}{2^3} \cdot \dots \cdot \cos \frac{\pi}{2^{10}} \cdot \sin \frac{\pi}{2^{10}}$ का मान है

$cot 5^o - tan 5^o - 2 tan 10^o - 4 tan 20^o - 8 cot 40^o$ का मान ज्ञात कीजिए।

यदि $\cos A = \frac{7}{25}$ और $\frac{3 \pi}{2} < A < 2 \pi$ है,तो $\cos \frac{A}{4} + \cos \frac{A}{2} - \cos 2A =$

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