Question

The function $f\left(x\right)=\sqrt{3}\cos x+\sin x$ has an amplitude of

• A. $1.37$
• B. $1.73$
• C. $2$
• D. $2.73$
• E. $3.46$

Answer 1

The correct option is C $2$

$f\left(x\right)=2(\frac{\sqrt{3}}{2}\cos x+\frac{1}{2}\sin x)=2\sin (x+\frac{\pi }{6})$

$f\left(x\right)$ has an amplitude of $2.$