Functions Question 621

Question: If $ f(x)=2\sin x $ , $ g(x)={{\cos }^{2}}x $ , then $ (f+g)( \frac{\pi }{3} )= $

Options:

A) 1

B) $ \frac{2\sqrt{3}+1}{4} $

C) $ \sqrt{3}+\frac{1}{4} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ (f+g)\frac{\pi }{3}=\frac{2\sqrt{3}}{2}+\frac{1}{4}=\sqrt{3}+\frac{1}{4} $ .