The equation $\sin x + \cos x = 2$has
The equation $\sin x + \cos x = 2$has
- A
One solution
- B
Two solutions
- C
Infinite number of solutions
- D
No solutions
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The number of values of $\theta$ in the interval $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ such that $\theta \neq \frac{n \pi}{5}$ for $n=0, \pm 1, \pm 2$ and $\tan \theta=\cot 5 \theta$ as well as $\sin 2 \theta=\cos 4 \theta$ is
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- [JEE MAIN 2014]