AM-2548

R-formula

A Math · Secondary 4 · Hard · R-formula

Given

L = 15 + 8\sin\theta + 6\cos\theta

, express L in the form

p + R\cos(\theta-\alpha)

, where

R>0

and

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

.

$L = 15 + 10\cos(\theta-143.1^\circ)$
$L = 15 + 10\cos(\theta-53.1^\circ)$
$L = 15 + 10\cos(\theta+53.1^\circ)$
$L = 15 + 10\cos(\theta+143.1^\circ)$

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