In the fourth quadrant, the cosine function takes positive values. This is due to the fact that in this quadrant, the x-coordinates of points on the unit circle are positive while the y-coordinates are negative.
The cosine of an angle in the fourth quadrant can be any value in the range of 0 to 1 (0 < cos ≤ 1). This means, if an angle is positioned in the fourth quadrant, you can expect that the cosine of that angle is non-negative and typically expressed as:
- cos(θ) > 0 when θ is between 270° and 360° (or 3π/2 to 2π in radians).
As an example, if θ = 300°, then cos(300°) = 0.5, which lies within the acceptable range for cosine values in the fourth quadrant.