Answer
$8$
Work Step by Step
$5\cos 90^o-8\sin 270^o
\\=\left(5\times \cos \dfrac {\pi }{2}\right)-\left(8\times \sin \dfrac {3\pi }{2}\right)
\\=(5\times 0)-[8\times \left( -1\right)]
\\=0-(-8)
\\=8$
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