AM-2557

R-formula

A Math · Secondary 4 · Hard · R-formula

The displacement of a particle is modeled by

s = 4\sin t + 3\cos t

. Express

s

in the form

R\sin(t+\alpha)

, where

R>0

and

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

. What is the exact value of

R

?

$5$
$\sqrt{7}$
$\sqrt{13}$
$\sqrt{16-4}$

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