given sin θ = - 1/2 and angle θ is in quadrant IV, what is the exact value of cos θ in its simplest form

Question

Mathematics

Laura Berger

9 November, 00:32

given sin θ = - 1/2 and angle θ is in quadrant IV, what is the exact value of cos θ in its simplest form

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Answers (1)

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Christina Morgan · Answer 1

Cos θ = √3 / 2.

Step-by-step explanation:

The cosine si positive in quadrant IV.

Using the identity cos θ = √ (1 - sin^2 θ):

cos θ = √ (1 - (-1/2) ^2)

= √ (3/4)

= √3 / 2