Same problem with this question
The angle θ is in the fourth quadrant, and tan θ = -3/7. Point P is on the terminal arm of angle θ. Which is a possible coordinate for P?
A) -21,9
B) 9,-21
C) -9,21
D) 21,-9
i can narrow it down for you its either b or d
See my explanation here to the same kind of problem
http://www.jiskha.com/display.cgi?id=1352868859
(Please don't switch names, I might think there are two different people)
To find a possible coordinate for point P, we can use the given information that tan θ = -3/7.
In the fourth quadrant, both the x-coordinate and the y-coordinate of a point are negative. So, we need to find a point where the x-coordinate is positive and the y-coordinate is negative to meet the criteria.
The tangent of an angle is equal to the y-coordinate divided by the x-coordinate. In this case, we have tan θ = -3/7. We can represent this as a ratio:
y-coordinate / x-coordinate = -3/7 (1)
Since tan θ is negative, the y-coordinate must be negative, and since the x-coordinate is positive, the ratio -3/7 implies that the y-coordinate is -3 and the x-coordinate is 7.
Therefore, a possible coordinate for point P is (7, -3).
Looking at the given options:
A) -21, 9: The x-coordinate is negative, so this is not a possible coordinate.
B) 9, -21: The y-coordinate is negative, but the x-coordinate is positive, so this is not a possible coordinate.
C) -9, 21: The x-coordinate is negative, so this is not a possible coordinate.
D) 21, -9: The y-coordinate is negative, and the x-coordinate is positive, so this is a possible coordinate.
Thus, the answer is D) 21, -9.