AM-926

R-formula

A Math · Secondary 3 · Hard · R-formula

Given

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

, express

h

in the form

R\sin(\theta-\alpha)

, where

R>0

and

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

.

$h=13\sin(\theta-\alpha)$ where $\cos\alpha=12/13$
$h=13\cos(\theta-\alpha)$ where $\cos\alpha=12/13$
$h=13\sin(\theta+\alpha)$ where $\cos\alpha=5/13$
$h=13\cos(\theta+\alpha)$ where $\cos\alpha=5/13$

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