AM-2677

R-formula

A Math · Secondary 4 · Medium · R-formula

Express

7\cos\theta - 24\sin\theta

in the form

R\cos(\theta+\alpha)

, where

R>0

and

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

.

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

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