The equation $\sin x + \cos x = 2$ has

  • A
    One solution
  • B
    Two solutions
  • C
    Infinite number of solutions
  • D
    No solutions

Explore More

Similar Questions

The set of angles between $0$ and $2\pi$ satisfying the equation $4\cos^2 \theta - 2\sqrt{2}\cos \theta - 1 = 0$ is

The number of values of $x$ satisfying $2\sin^2(2x) = 2\cos^2(8x) + \cos(10x)$ in the interval $x \in \left[ -\frac{\pi}{4}, \frac{\pi}{4} \right]$ is:

If $\frac{\tan 3\theta - 1}{\tan 3\theta + 1} = \sqrt{3}$,then the general value of $\theta$ is

If $\sin^2 x + \sin x \cos x - 6\cos^2 x = 0$ and $-\frac{\pi}{2} < x < 0$,then the value of $\cos 2x$ is

The number of solution$(s)$ of the equation $\sin 2\theta + \cos 2\theta = -\frac{1}{2}$ for $\theta \in \left( 0, \frac{\pi}{2} \right)$ is:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo