Application of Derivatives
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
The maximum value of $\sin x + \cos x$ is:
(a) $\sqrt{2}$
(b) $1$
(c) $2$
(d) $\sqrt{3}$
Step-by-Step Solution
Max value of a sin x + b cos x is \sqrt{a^2+b^2} = \sqrt{1+1} = \sqrt{2}. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $\sqrt{2}$: 1.0 Mark
Correct Answer: $\sqrt{2}$
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