Which of the following relations is correct?

  • A
    $\sin 1 < \sin 1^\circ$
  • B
    $\sin 1 > \sin 1^\circ$
  • C
    $\sin 1 = \sin 1^\circ$
  • D
    $\frac{\pi}{180} \sin 1 = \sin 1^\circ$

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$\cos ^2 45^{\circ}+\cos ^2 135^{\circ}+\cos ^2 225^{\circ}+\cos ^2 315^{\circ} = $

$\sin 50^\circ - \sin 70^\circ + \sin 10^\circ = $

$\frac{\sin \theta}{1-\cot \theta} + \frac{\cos \theta}{1-\tan \theta} = $

$\cos 1^{\circ} \cdot \cos 2^{\circ} \cdot \cos 3^{\circ} \dots \cos 179^{\circ} = $

Which of the following have the same value?
$(a)$ $\sin 120^{\circ}$
$(b)$ $\cos 930^{\circ}$
$(c)$ $\tan 840^{\circ}$
$(d)$ $\cot (-1110^{\circ})$

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