Correct Answer: Option C

Explanation

tan x = 1; x = tan^-1(10 = 45^o

sin x + cos x

= sin 45^o + cos 45^o

= \(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}\)

= \(\frac{\sqrt{2} + \sqrt{2}}{2}\)

= \(\frac{2\sqrt{2}}{2}\)

= \(\sqrt{2}\)

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