AM-2486

R-formula

A Math · Secondary 4 · Hard · R-formula

Given that

L=25+7\sin\theta+24\cos\theta

, express

L

in the form

25+R\sin(\theta+\alpha)

where

R>0

and

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

.

$25+25\sin(\theta+\alpha)$ , where $\tan\alpha=\dfrac{24}{7}$
$25+25\sin(\theta-\alpha)$ , where $\tan\alpha=\dfrac{24}{7}$
$25+25\sin(\theta+\alpha)$ , where $\tan\alpha=\dfrac{7}{24}$
$25+\sqrt{31}\sin(\theta+\alpha)$ , where $\tan\alpha=\dfrac{24}{7}$

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