MCQ
The equation $\sin x + \cos x = 2$has
- AOne solution
- BTwo solutions
- CInfinite number of solutions
- ✓No solutions
✓
Answer
Correct option: D.
No solutions
d
(d) No solution as $|\sin x| \le 1,\,|\cos x| \le 1$ and both of them do not attain their maximum value for the same angle.
(d) No solution as $|\sin x| \le 1,\,|\cos x| \le 1$ and both of them do not attain their maximum value for the same angle.
Aliter : Since the maximum value of $(\sin x + \cos x) = \sqrt {{1^2} + {1^2}} = \sqrt 2 $.
Hence there is no satisfying $\sin x + \cos x = 2$.
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