AM-2741

R-formula

A Math · Secondary 4 · Hard · R-formula

Write

3\cos\theta-4\sin\theta

in the form

R\cos(\theta+\alpha)

, where

R>0

and

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

.

$5\sin\!\left(\theta-\tan^{-1}\!\frac{3}{4}\right)$
$5\sin\!\left(\theta+\tan^{-1}\!\frac{3}{4}\right)$
$5\cos\!\left(\theta-\tan^{-1}\!\frac{4}{3}\right)$
$5\cos\!\left(\theta+\tan^{-1}\!\frac{4}{3}\right)$

Sign in to check your answer and see the hint and the worked explanation. Free on PrepLab High.

Loading problem…