Which quadrant of the Cartesian plane contains angles where the sine is negative and the cosine is positive?
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Quadrant IV
In the fourth quadrant (270° to 360°), the x-coordinate is positive and the y-coordinate is negative. Since cosine corresponds to x and sine to y on the unit circle, cos(θ) > 0 and sin(θ) < 0.
Also asked as:
- In which quadrant of the Cartesian plane is the x-coordinate positive and the y-coordinate negative?