AM-2559

R-formula

A Math · Secondary 4 · Hard · R-formula

The expression

k = 2\sin\theta - 5\cos\theta

can be written in the form

R\sin(\theta-\alpha)

, where

R>0

and

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

. What is

R

?

$\sqrt{29}$
$\sqrt{21}$
$\sqrt{4+5}$
$\sqrt{25-9}$

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