Use Investigating Trigonometric Ratios and the Unit Circle to answer these questions. Use the angle θ slider to see how the x- and y-coordinates of point P on the unit circle relate to cos θ, sin θ, and tan θ.
Angle θ | Point (x, y) | Quadrant | x | y | cos θ | sin θ | tan θ (as a fraction) |
tan θ |
45° | (0.7071, 0.7071) | 1 | 0.7071 | 0.7071 | 0.7071 | 0.7071 | 1 | |
Save your responses in your course folder.
With a partner or group, explain why you think the relationships you observed in Try This 1 exist between the values of x, y, cos θ, sin θ, and tan θ.
If required, place a summary of your discussion in your course folder.