AM-2556

R-formula

A Math · Secondary 4 · Hard · R-formula

A function is given by

f(\theta)=7\cos\theta-24\sin\theta

. It can be written as

R\cos(\theta+\alpha)

, where

R>0

and

0^\circ<\alpha<90^\circ

. What is the value of

R

?

$25$
$\sqrt{527}$
$\sqrt{49-576}$
$\sqrt{49+24}$

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