Difference between revisions of "ModelCourses/Trigonometry/MoreApplications"
Jump to navigation
Jump to search
| Line 1: | Line 1: | ||
= More Application of Trig Functions = |
= More Application of Trig Functions = |
||
| − | * Various applications now can be more complicated to read and involve degrees, radians, use of inverse trig functions, "incomplete" data, etc. |
||
| + | * Angle of elevation and angle of depression |
||
| + | ** |
||
| + | * Distance and Bearing |
||
| + | ** Two ships |
||
| + | * Arc length |
||
| + | ** Given angle in radians, determine length of arc (ala satellite distance traveled) |
||
| + | ** Given angle in degrees, determine length of arc |
||
| + | ** Given arc length and radius, determine angle |
||
| + | ** Arc length traveled over a certain amount of time. |
||
| + | * Area of Circular Sector |
||
| + | ** Given angle and radius, determine area of sector (ala lawn sprinkler or windshield wiper) |
||
| + | ** Given area and radius, determine angle |
||
| + | * Velocities |
||
| + | ** Angular velocity (ala grandfather clock) |
||
| + | ** Fixed angular velocity related to linear velocity for different radii |
||
| + | ** Linear velocity (ala satellite speed or various diameter bicycle wheels) |
||
| + | *** Bicycle wheel/gears would be a nice place to use an interactive app... |
||
| + | ** Nice app dealing with linear velocity of persons at various latitudes |
||
| + | ** RPMs for fan blades or lawnmower blades or propellers given angular velocity in some form. |
||
[[ModelCourses/Trigonometry]] |
[[ModelCourses/Trigonometry]] |
||
Revision as of 19:51, 4 October 2011
More Application of Trig Functions
- Angle of elevation and angle of depression
- Distance and Bearing
- Two ships
- Arc length
- Given angle in radians, determine length of arc (ala satellite distance traveled)
- Given angle in degrees, determine length of arc
- Given arc length and radius, determine angle
- Arc length traveled over a certain amount of time.
- Area of Circular Sector
- Given angle and radius, determine area of sector (ala lawn sprinkler or windshield wiper)
- Given area and radius, determine angle
- Velocities
- Angular velocity (ala grandfather clock)
- Fixed angular velocity related to linear velocity for different radii
- Linear velocity (ala satellite speed or various diameter bicycle wheels)
- Bicycle wheel/gears would be a nice place to use an interactive app...
- Nice app dealing with linear velocity of persons at various latitudes
- RPMs for fan blades or lawnmower blades or propellers given angular velocity in some form.
