Question

what is the greatest value of the function
$- 5 \sin( \alpha ) + 12 \cos( \alpha )$

Answer 1

Hey!!!...Here is ur answer

the greatest value of the function

$a \sin( \alpha ) + b \cos( \alpha ) \: is \: \sqrt{ {a}^{2} + {b}^{2} } \\ \\ so \:the \: greatest \: value \: of \: - 5 \sin( \alpha ) + 12 \cos( \alpha ) will \: be \\ \\ \sqrt{ { - 5}^{2} + {12}^{2} } \\ \\ \sqrt{25 + 144} \\ \\ = \sqrt{169} \\ \\ = 13$

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