If $5{\cos ^2}\theta + 7{\sin ^2}\theta - 6 = 0$, then the general value of $\theta $ is

  • A

    $2n\pi \pm \frac{\pi }{4}$

  • B

    $n\pi \pm \frac{\pi }{4}$

  • C

    $n\pi + {( - 1)^n}\frac{\pi }{4}$

  • D

    None of these

Similar Questions

The number of roots of the equation $\cos ^7 \theta-\sin ^4 \theta=1$ that lie in the interval $[0,2 \pi]$ is

  • [KVPY 2010]

Find the general solution of the equation $\sin x+\sin 3 x+\sin 5 x=0$

Solve $\sin 2 x-\sin 4 x+\sin 6 x=0$

The number of values of $\alpha $ in $[0, 2\pi]$ for which $2\,{\sin ^3}\,\alpha  - 7\,{\sin ^2}\,\alpha  + 7\,\sin \,\alpha  = 2$ , is

  • [JEE MAIN 2014]

The sum of all values of $x$ in $[0,2 \pi]$, for which $\sin x+\sin 2 x+\sin 3 x+\sin 4 x=0$, is equal to:

  • [JEE MAIN 2021]