How do you find the sine, cosine, and tangent values on the unit circle not in the first quadrant? Provide an example, and how y

Question

anygoal [31]

2 years ago

5

How do you find the sine, cosine, and tangent values on the unit circle not in the first quadrant? Provide an example, and how y

ou would find the sine, cosine, and tangent of the value you chose

Mathematics

1 answer:

gizmo_the_mogwai [7] · Answer 1 · 2022-06-20T06:54:27+03:00

A point (-0.8, 0.6) will be a point on the unit circle in the second quadrant. Since it is a unit circle, its radius is 1, and we have
sin(α) = y = 0.6
cos(α) = x = -0.8
tan(α) = y/x = 0.6/-0.8 = -0.75

The angle is α = arccos(-0.8) ≈ 143.13°

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For the unit circle, the trig values are always the coordinates or their ratio as shown above, regardless of quadrant.