AM-2632

R-formula

A Math · Secondary 4 · Medium · R-formula

Express

5\sin\theta + 12\cos\theta

in the form

R\cos(\theta - \alpha)

, where

R>0

and

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

.

$13\cos\bigl(\theta-\tan^{-1}(\tfrac{5}{12})\bigr)$
$13\cos\bigl(\theta+\tan^{-1}(\tfrac{5}{12})\bigr)$
$13\sin\bigl(\theta-\tan^{-1}(\tfrac{5}{12})\bigr)$
$13\sin\bigl(\theta+\tan^{-1}(\tfrac{5}{12})\bigr)$

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