AM-2744

R-formula

A Math · Secondary 4 · Hard · R-formula

Given

P(\theta)=5\sin\theta+12\cos\theta

, express

P(\theta)

in the form

R\sin(\theta+\alpha)

, where

R>0

and

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

$13\sin(\theta+\alpha)$ , where $\cos\alpha=\dfrac5{13}$ and $\sin\alpha=\dfrac{12}{13}$
$13\sin(\theta+\alpha)$ , where $\cos\alpha=\dfrac{12}{13}$ and $\sin\alpha=\dfrac5{13}$
$\sqrt{119}\sin(\theta+\alpha)$ , where $\cos\alpha=\dfrac5{\sqrt{119}}$
$13\cos(\theta+\alpha)$ , where $\cos\alpha=\dfrac5{13}$ and $\sin\alpha=\dfrac{12}{13}$

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