No. of solution of equation $sin^{65}x\, -\, cos^{65}x =\, -1$ is, if $x \in (-\pi , \pi )$

  • A

    $3$

  • B

    $4$

  • C

    $2$

  • D

    $1$

Similar Questions

The general solution of the trigonometric equation $\tan \theta = \cot \alpha $ is

If $\tan (\pi \cos \theta ) = \cot (\pi \sin \theta ),$ then the value of $\cos \left( {\theta - \frac{\pi }{4}} \right) =$

All the pairs $(x, y)$ that satisfy the inequality ${2^{\sqrt {{{\sin }^2}{\kern 1pt} x - 2\sin {\kern 1pt} x + 5} }}.\frac{1}{{{4^{{{\sin }^2}\,y}}}} \leq 1$ also Satisfy the equation

  • [JEE MAIN 2019]

The general solution of ${\sin ^2}\theta \sec \theta + \sqrt 3 \tan \theta = 0$ is

The most general value of $\theta $ which will satisfy both the equations $\sin \theta = - \frac{1}{2}$ and $\tan \theta = \frac{1}{{\sqrt 3 }}$ is