Math  /  Word Problems

QuestionFind cosθ\cos \theta if sinθ=45\sin \theta=\frac{4}{5} and θ\theta is in quadrant II. Simplify your answer.

Studdy Solution
Since θ\theta is in quadrant II, and cosine is negative in quadrant II, we choose the negative root.
cosθ=35\cos \theta = -\frac{3}{5}So, the exact value of cosθ\cos \theta is 35-\frac{3}{5}.

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