Use C to denote cos x, and express Cos(x+20,000pi)

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02-05-2017
Mathematics

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Use C to denote cos x, and express Cos(x+20,000pi)

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jdoe0001 jdoe0001 · Answer 1 · 2017-05-02T02:14:56+02:00

[tex]\bf 20000\pi \iff 10000\cdot 2\pi \implies cos(2\pi )=1\qquad 10000\cdot 1\implies 1 \\\\\\ sin(2\pi )=0\qquad \qquad 10000\cdot 0\implies 0\\\\ -----------------------------\\\\ cos({{ \alpha}} + {{ \beta}})= cos({{ \alpha}})cos({{ \beta}})- sin({{ \alpha}})sin({{ \beta}})\\\\ -----------------------------\\\\ cos(x+10000\pi )=cos(x)cos(10000\pi )-sin(x)sin(10000\pi ) \\\\\\ cos(x+10000\pi )=cos(x)\cdot 1-sin(x)\cdot 0 \\\\\\ cos(x+10000\pi )=cos(x)[/tex]