If θ is in Quadrant IV and sinθ = -1/2, then cosθ _____.

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11-12-2017
Mathematics

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If θ is in Quadrant IV and sinθ = -1/2, then cosθ _____.

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Kalahira Kalahira · Answer 1 · 2017-12-25T02:35:59+01:00

Kalahira Kalahira

25-12-2017

Solution : Quadrant IV ranges from 270 deg to 360 deg Also sinÎ¸ = - value & cosÎ¸= + value in IV quadrant Here, sinÎ¸ = -1/2, we know sin30=1/2 this gives, Î¸ = 330deg as sinÎ¸ = sin(360-Î¸) Hence, cosÎ¸=cos330=cos(360-30)=cos30 Answer: cos30 = âš3/2

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gcantiga44 gcantiga44 · Answer 2 · 2020-07-02T10:11:46+02:00

gcantiga44 gcantiga44

02-07-2020

Clarification:

The answer is [tex]\frac{\sqrt{3} }{2}[/tex] (√3/2)

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