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मान ज्ञात कीजिए: $\sin(22 \frac{1}{2}^{\circ})$

यदि सर्वसमिका $\cos^4 \theta = a \cos 4\theta + b \cos 2\theta + c$ कुछ $a, b, c \in \mathbb{Q}$ के लिए सत्य है,तो $(a, b, c) =$

यदि $\sin \theta - \cos \theta = \frac{1}{\sqrt{3}}$ है,तो $\sin(2\theta) + \cos(4\theta) + \sin(6\theta) = $

यदि $\sin 6 \theta = 32 \cos^5 \theta \sin \theta - 32 \cos^3 \theta \sin \theta + 3x$ है,तो $x$ का मान ज्ञात कीजिए:

यदि $\tan x = \frac{3}{4}$ और $\pi < x < \frac{3\pi}{2}$ है,तो $\cos \frac{x}{2}$ का मान ज्ञात कीजिए।

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