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What does sin(θ) < 0 indicate in trigonometry?

User Victorlin
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Final answer:

In trigonometry, sin(θ) < 0 indicates that the value of the sine function for the angle θ is negative. This means that the y-coordinate of the point on the unit circle corresponding to the angle θ is negative or below the x-axis.

Step-by-step explanation:

In trigonometry, when sin(θ) < 0, it indicates that the value of the sine function for the angle θ is negative. This means that the y-coordinate of the point on the unit circle corresponding to the angle θ is negative or below the x-axis.

For example, if you have an angle of θ = 45 degrees, sin(45) < 0. This means that the point on the unit circle corresponding to this angle has a y-coordinate that is negative.

Generally, when sin(θ) < 0 in trigonometry, it implies that the angle is in the second or third quadrant.

User Fizzybear
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