A) One solution
B) Two solutions
C) Infinite number of solutions
D) No solutions
Correct Answer: D
Solution :
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 \[x\]satisfying\[\sin x+\cos x=2\].
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