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31-03-2017
Mathematics

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Evaluate Cos^-1(sin 330 degree)

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LammettHash LammettHash

31-03-2017

[tex]330^\circ\equiv-30^\circ\mod360^\circ[/tex]

so

[tex]\sin330^\circ=\sin(-30^\circ)=-\sin30^\circ=-\dfrac12[/tex]

Finally,

[tex]\cos^{-1}\left(-\dfrac12\right)=\dfrac{2\pi}3\text{ rad}=120^\circ[/tex]

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