If $\tan \theta + \sin \theta = m$ and $\tan \theta - \sin \theta = n,$ then
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 $\tan \theta = \frac{a}{b},$ then $\frac{{\sin \theta }}{{{{\cos }^8}\theta }} + \frac{{\cos \theta }}{{{{\sin }^8}\theta }} = $
If $\tan \theta = \frac{a}{b},$ then $\frac{{\sin \theta }}{{{{\cos }^8}\theta }} + \frac{{\cos \theta }}{{{{\sin }^8}\theta }} = $
The value of $\sin 10^\circ + \sin 20^\circ + \sin 30^\circ + ... + $ $\sin 360^\circ $ is
The value of $\sin 10^\circ + \sin 20^\circ + \sin 30^\circ + ... + $ $\sin 360^\circ $ is
If $\sec \theta + \tan \theta = p,$ then $\tan \theta $ is equal to
If $\sec \theta + \tan \theta = p,$ then $\tan \theta $ is equal to
Find the value of $\sin \frac{31 \pi}{3}$.
Find the value of $\sin \frac{31 \pi}{3}$.
If $\cos (\alpha - \beta ) = 1$ and $\cos (\alpha + \beta ) = \frac{1}{e}$, $ - \pi < \alpha ,\beta < \pi $, then total number of ordered pair of $(\alpha ,\beta )$ is
If $\cos (\alpha - \beta ) = 1$ and $\cos (\alpha + \beta ) = \frac{1}{e}$, $ - \pi < \alpha ,\beta < \pi $, then total number of ordered pair of $(\alpha ,\beta )$ is
- [IIT 2005]