Answer: IV, positive, , - sec ,
<u>Step-by-step explanation:</u>
a) Look at the Unit Circle to see that = 330°, which is located in Quadrant IV.
b) The coordinate (cos θ, sin θ) for is:
sec = = which is positive
c) Since the given angle is in Quadrant IV, which is closest to the x-axis at 360° = 2π, the reference angle can be found by subtracting the given angle from 2π: - =
d) the reference angle is below the x-axis so the given angle is equal to the negative of the reference angle: - sec .
e) sec = = =
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Answer: , IV,
<u>Step-by-step explanation:</u>
2π is one rotation. 2π =
+ =
+ =
Convert the radians into degrees to see which Quadrant it is in by setting up the proportion and cross multiplying:
=
π(11x) = (180)18π
x =
x = 295° <em>which lies in Quadrant IV</em>
Since the given angle is in Quadrant IV, which is closest to the x-axis at 360° = 2π, the reference angle can be found by subtracting the angle of least nonegative value from 2π: - =
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Answer: , IV, ,
<u>Step-by-step explanation:</u>
2π is one rotation. 2π =
+ =
+ =
+ =
This is on the Unit Circle at 300°, which is located in Quadrant IV
Since the given angle is in Quadrant IV, which is closest to the x-axis at 360° = 2π, the reference angle can be found by subtracting the angle of least nonegative value from 2π: - =