If an angle is in standard position and its terminal side passes through the point on the coordinate plane, what is the measure of in degrees?
Indice
- 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
1. Measuring Angles
Angles in Standard Position
Scelta multipla
If an angle is in standard position and its terminal side passes through the point , what is the measure of to the nearest degree?
A
B
C
D
0 Commenti
Guida verificata passo dopo passo1
Identify that the angle \( \angle ABD \) is in standard position, meaning its vertex is at the origin and its initial side lies along the positive x-axis.
Recognize that the terminal side of the angle passes through the point \( (3, 4) \). This point gives the coordinates \( x = 3 \) and \( y = 4 \).
Calculate the reference angle \( \theta \) using the tangent function, since \( \tan(\theta) = \frac{y}{x} \). So, \( \theta = \arctan\left(\frac{4}{3}\right) \).
Use the arctangent value to find the angle in degrees. Remember to convert from radians to degrees if necessary by multiplying by \( \frac{180}{\pi} \).
Since the point \( (3, 4) \) lies in the first quadrant (both x and y positive), the angle \( \angle ABD \) is simply the reference angle \( \theta \) found above.
Video correlati
Pratica correlata
Scelta multipla
102
views

