An angle in standard position has its initial side along the positive -axis. If its terminal side passes through the point , what is the measure of the angle in degrees, rounded to the nearest whole number?
Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
1. Measuring Angles
Angles in Standard Position
Struggling with Trigonometry?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
An angle is in standard position and its terminal side lies on the negative -axis. What is the measure of this angle in degrees?
A
B
C
D
Verified step by step guidance1
Recall that an angle in standard position has its vertex at the origin and its initial side along the positive x-axis.
Identify the position of the terminal side: since it lies on the negative y-axis, it points straight down from the origin.
Understand that the positive x-axis corresponds to 0° (or 360°), and moving counterclockwise, the positive y-axis is at 90°, the negative x-axis at 180°, and the negative y-axis at 270°.
Therefore, the angle whose terminal side lies on the negative y-axis is measured as 270° in standard position.
Conclude that among the given options, the angle measure that corresponds to the terminal side on the negative y-axis is 270°.
Watch next
Master Drawing Angles in Standard Position with a bite sized video explanation from Patrick
Start learningRelated Videos
Related Practice
Multiple Choice
13
views
Angles in Standard Position practice set

