AM-1000

R-formula

A Math · Secondary 3 · Hard · R-formula

The function is

f(x)=2\sin x + \sqrt{3}\cos x

, where

x

is in radians. Express

f(x)

in the form

R\sin(x+\alpha)

, where

R>0

and

0<\alpha<\dfrac{\pi}{2}

. What is the value of

R

?

$\sqrt{7}$
$\sqrt{13}$
$2\sqrt{3}$
$\sqrt{5}$

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