P0tential P0tential

09-05-2019
Mathematics

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Given that sinΘ = 1/2 and that Θ lies in quadrant II, determine the value of cosΘ.

Given that sinΘ 12 and that Θ lies in quadrant II determine the value of cosΘ class=

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LammettHash LammettHash

09-05-2019

With [tex]\theta[/tex] in quadrant II, we expect to have [tex]\cos\theta<0[/tex]. Then

[tex]\cos^2\theta+\sin^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}[/tex]

[tex]\implies\cos\theta=-\dfrac{\sqrt3}2[/tex]

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