Teaching Trigonometry Cosine Functions - Fun Math Help - Game Tips:
- Press the 't' key to see a graph that demonstrates the following example.
The cosine of angle A can be written as cos A and
cos A equals the ratio (x/r) = (3)/(5) when point D is (x,y) = (3,4) and r=AD=5.
With angle A in standard position at the origin, the cosine ratio of A is (x coordinate)/(radius) = (3)/(5).
The radius r=5 can be calculated from point D(3,4) using 32 + 42 = r2.
- Press the 'y' key to restart the game.
- When angle A is in standard position at the graph's origin (0,0) then cos A equals (x/r).
Since r is the hypotenuse of a right triangle, r can be found from point D(x,y) using x2 + y2 = r2 .
Consequently, cos A can also be described as (adjacent side)/(hypotenuse).
- The small square symbol at B indicates AB is perpendicular to BD forming a right angle.
- It may take a minute to load the game at dial-up speeds.
- The game can be played using the mouse by itself or using the keyboard by itself.
- If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus.
- Adjust the game's speed by pressing the + or - key repeatedly.