AM-2709

R-formula

A Math · Secondary 4 · Hard · R-formula

The perimeter

P

cm of a banner is given by

P = 16\sin\theta + 12\cos\theta + 40

, where

0^\circ\leq\theta\leq90^\circ

. Express

P

in the form

R\sin(\theta+\alpha)+40

, where

R>0

and

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

.

$P = 20\sin(\theta+\alpha)+40$ , where $\sin\alpha=\dfrac{3}{5}$
$P = 20\sin(\theta-\alpha)+40$ , where $\sin\alpha=\dfrac{3}{5}$
$P = 10\sin(\theta+\alpha)+40$ , where $\sin\alpha=\dfrac{4}{5}$
$P = 20\cos(\theta+\alpha)+40$ , where $\sin\alpha=\dfrac{3}{5}$

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

Loading problem…