AM-979

R-formula

A Math · Secondary 3 · Medium · R-formula

Express

5\cos x+12\sin x

in the form

R\sin(x+\alpha)

, where

R>0

and

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

. What is the value of

R

?

13
$\sqrt{119}$
17
$\sqrt{169}$ but taken as 169

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