AM-2554

R-formula

A Math · Secondary 4 · Hard · R-formula

A quantity is given by

h = 9\sin\theta - 4\cos\theta

. It can be written in the form

R\sin(\theta-\alpha)

, where

R>0

and

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

. What is the value of

\alpha

correct to 1 decimal place?

$24.0^\circ$
$66.0^\circ$
$21.8^\circ$
$68.2^\circ$

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