Trigonometry Quiz
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Shilpa Agarkar
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40 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If each angle has the given measure and is in standard position, determine the quadrant in which its terminal side lies. -3π/4
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer explanation
The angle -3π/4 is equivalent to 5π/4 when converted to a positive angle. This angle lies in Quadrant III, where both sine and cosine values are negative.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If each angle has the given measure and is in standard position, determine the quadrant in which its terminal side lies. 620°
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer explanation
To find the quadrant for 620°, first reduce it by subtracting 360°: 620° - 360° = 260°. The angle 260° lies between 180° and 270°, which places it in Quadrant IV.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If each angle has the given measure and is in standard position, determine the quadrant in which its terminal side lies. -135°
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer explanation
An angle of -135° is equivalent to 225° when converted to a positive angle (360° - 135°). The terminal side of 225° lies in Quadrant III, but since we are considering -135°, it actually lies in Quadrant II.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If each angle has the given measure and is in standard position, determine the quadrant in which its terminal side lies. 4.7π/4
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer explanation
To find the quadrant for 4.7π/4, first convert it to degrees: 4.7π/4 = 4.7 * 45 = 211.5°. Since 180° < 211.5° < 270°, the angle lies in Quadrant III.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If each angle has the given measure and is in standard position, determine the quadrant in which its terminal side lies. -330°
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer explanation
To find the quadrant for -330°, add 360° to get 30°. The angle 30° is in Quadrant I, where both x and y coordinates are positive. Thus, the terminal side of -330° lies in Quadrant I.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Change each degree measure to radian measure in terms of π. 90°
π/2
π/3
2π/3
π/4
Answer explanation
To convert degrees to radians, use the formula: radians = degrees × (π/180). For 90°, it becomes 90 × (π/180) = π/2. Thus, the correct answer is π/2.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Change each degree measure to radian measure in terms of π. 220°
11π/9
5π/6
7π/6
4π/3
Answer explanation
To convert degrees to radians, use the formula: radians = degrees × (π/180). For 220°, it becomes 220 × (π/180) = 11π/9. Thus, the correct answer is 11π/9.
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