Which of the following is true of the location of an angle, theta , whose tangent value is negative the fraction with numerator square root of 3 and denominator 3 ?
Answer
A
theta has a 60 -degree reference angle and is located in Quadrant II or IV
B
theta has a 30 -degree reference angle and is located in Quadrant II or IV
C
theta has a 30 -degree reference angle and is located in Quadrant II or III
D
theta has a 60 -degree reference angle and is located in Quadrant II or III
Explanation
The magnitude of the tangent is √3/3, which is tan 30°, so the reference angle is 30°. Tangent is negative in Quadrants II and IV, so the correct choice is “a 30-degree reference angle and is located in Quadrant II or IV.”
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