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$\frac{\sin 70^{\circ}+\cos 40^{\circ}}{\cos 70^{\circ}+\sin 40^{\circ}}$ का मान ज्ञात कीजिए।

जब $A = \frac{5\pi}{4}$ हो,तो $\cos A - \sin A$ का मान क्या होगा?

$\sin \left(\frac{5 \pi}{3}\right) + \sec \left(\frac{13 \pi}{3}\right) = $

सिद्ध कीजिए कि $3 \sin \frac{\pi}{6} \sec \frac{\pi}{3} - 4 \sin \frac{5 \pi}{6} \cot \frac{\pi}{4} = 1$.

$\cot (45^\circ + \theta ) \cot (45^\circ - \theta ) = $

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