AM-2666

R-formula

A Math · Secondary 4 · Hard · R-formula

A vertical height

h

cm of a structure is given by

h = 12\sin\theta + 5\cos\theta

. Express

h

in the form

R\sin(\theta + \alpha)

, where

R>0

and

\alpha

is acute.

$13\sin(\theta+\alpha)$ where $\sin\alpha=\dfrac{5}{13}$
$13\sin(\theta+\alpha)$ where $\sin\alpha=\dfrac{12}{13}$
$13\cos(\theta+\alpha)$ where $\sin\alpha=\dfrac{5}{13}$
$13\cos(\theta+\alpha)$ where $\sin\alpha=\dfrac{12}{13}$

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