Given a point on the unit circle corresponding to an angle measured from the positive x-axis, what is the x-coordinate of the point (x, y)?
Table of contents
- 0. Review of College Algebra4h 45m
- 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
3. Unit Circle
Trigonometric Functions on the Unit Circle
Multiple Choice
Which of the following expressions is equivalent to ?
A
B
C
D
0 Comments
Verified step by step guidance1
Recall the sine function's key properties and identities, especially the sine of supplementary angles: \(\sin(\theta) = \sin(180^\circ - \theta)\).
Apply this identity to \(\sin(22^\circ)\) by calculating \(180^\circ - 22^\circ\) to find an equivalent angle.
Recognize that \(\sin(-\theta) = -\sin(\theta)\), so \(\sin(-22^\circ)\) is not equal to \(\sin(22^\circ)\) but rather its negative, which is different from the original value.
Consider the complementary angle identity: \(\sin(\theta) = \cos(90^\circ - \theta)\), and check if \(\cos(22^\circ)\) or \(\sin(68^\circ)\) matches \(\sin(22^\circ)\).
Conclude which expression(s) are equivalent to \(\sin(22^\circ)\) based on these identities and the values of the angles involved.
Related Videos
Related Practice
Multiple Choice
58
views

