Question

If sine theta equals negative square root of three over two and pi less than theta less than three times pi over two, what are the values of cos Θ and tan Θ?
cosine theta equals one half, tangent theta equals negative square root of three
cosine theta equals negative one half, tangent theta equals square root of three

Answer 1

Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

sin(1/2) = π/6

The value of the trignometric function are;

cos(π/6) = (√3)/2

tan(π/6) = 1/√3 = (√3)/3

In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.

θ = 5π/6

cos(5π/6) = -(√3)/2

tan(5π/6) = -(√3)/3

Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

To learn more about the angle measurement, refer to the link;

brainly.com/question/14684647

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