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anygoal [31]
3 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]3 years ago
7 0
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°

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