AM-2588

R-formula

A Math · Secondary 4 · Hard · R-formula

Express

7\sin\theta + 24\cos\theta

in the form

R\sin(\theta + \alpha)

, where

R>0

and

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

.

Give

\alpha

correct to 2 decimal places.

$25\sin(\theta+73.74^\circ)$
$25\sin(\theta-73.74^\circ)$
$25\cos(\theta+73.74^\circ)$
$25\cos(\theta-73.74^\circ)$

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