If $\tan \theta + \sin \theta = m$ and $\tan \theta - \sin \theta = n,$ then

  • [IIT 1970]
  • A

    ${m^2} - {n^2} = 4\,mn$

  • B

    ${m^2} + {n^2} = 4\,mn$

  • C

    ${m^2} - {n^2} = {m^2} + {n^2}$

  • D

    ${m^2} - {n^2} = 4\sqrt {mn} $

Similar Questions

If $\tan A + \cot A = 4,$ then ${\tan ^4}A + {\cot ^4}A$ is equal to

If $\sec \theta + \tan \theta = p,$ then $\tan \theta $ is equal to

The value of $2 \sin \left(12^{\circ}\right)-\sin \left(72^{\circ}\right)$ is

  • [JEE MAIN 2022]

If $0 < x < \pi $ and $\cos x + \sin x = \frac{1}{2}$,then $tan \,x$ is  

  • [AIEEE 2006]

Observe that, at any instant, the minute and hour hands of a clock make two angles between them whose sum is $360^{\circ}$. At $6: 15$ the difference between these two angles is  $....^{\circ}$

  • [KVPY 2012]