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यदि $\sin x + \sin y = 3(\cos y - \cos x)$ है,तो $\frac{\sin 3x}{\sin 3y}$ का मान क्या है?

यदि $\tan A - \tan B = x$ और $\cot B - \cot A = y$ है,तो $\cot (A - B) = $

यदि $A$ तीसरे चतुर्थांश में स्थित है और $3 \tan A - 4 = 0$ है,तो $5 \sin 2A + 3 \sin A + 4 \cos A$ का मान ज्ञात कीजिए।

यदि $\frac{5 \sinh 2x}{7+6 \cosh 2x} = \frac{3}{2}$ है,तो $3 \tanh^2 x + 20 \tanh x = $

यदि $x = \log \left[ \cot \left( \frac{\pi}{4} + \theta \right) \right]$ है, तो $\sinh x$ का मान क्या है?

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