If tan x = 1, evaluate sin x + cos x, leaving your answer in…

If tan x = 1, evaluate sin x + cos x, leaving your answer in the surd form

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{2sqrt{2}}{2})
= (sqrt{2})