- The four quadrants of a Math graph resemble the 4 regions of a map.

Starting from the centre, the North-East region is quadrant 1. The North-West region is quadrant 2.

The South-West region is quadrant 3, and the South-East region is quadrant 4.

- Positive angles in standard position at the origin (0,0) are formed with initial arm always pointing East

and rotating the second arm of the angle counterclockwise to a terminal position.

Angles that rotate clockwise are negative angles in Mathematics.

- When angle DAB is in standard position at a graph's origin (0,0) then sin A equals (y/r),

cos A equals (x/r), and tan A = (y/x).

- When r = 1 then the primary Trig ratios simplify to sin A = y, cos A = x, and tan A = (y/x).

- Notice 30,60,90 right triangles have sides in the special ratio 0.5 / 0.866 / 1.0 approx.

- Notice 45,45,90 right triangles have sides in the special ratio 0.707 / 0.707 / 1.0 approx.

- When the terminal arm goes from (0,0) to (0,1) then the angle is 90

- When the terminal arm goes from (0,0) to (-1,0) then the angle is 180

- When the terminal arm goes from (0,0) to (0,-1) then the angle is 270

- When the terminal arm goes from (0,0) to (1,0) then the angle is 0

- The special angles based on 60

- When the terminal arm goes from (0,0) to (0.5,0.866) then the angle is 60

- When the terminal arm goes from (0,0) to (-0.5,0.866) then the angle is 120

- When the terminal arm goes from (0,0) to (-0.5,-0.866) then the angle is 240

- When the terminal arm goes from (0,0) to (0.5,-0.866) then the angle is 300

- The special angles based on 30

- When the terminal arm goes from (0,0) to (0.866,0.5) then the angle is 30

- When the terminal arm goes from (0,0) to (-0.866,0.5) then the angle is 150

- When the terminal arm goes from (0,0) to (-0.866,-0.5) then the angle is 210

- When the terminal arm goes from (0,0) to (0.866,-0.5) then the angle is 330

- The special angles based on 45

- When the terminal arm goes from (0,0) to (0.707,0.707) then the angle is 45

- When the terminal arm goes from (0,0) to (-0.707,0.707) then the angle is 135

- When the terminal arm goes from (0,0) to (-0.707,-0.707) then the angle is 225

- When the terminal arm goes from (0,0) to (0.707,-0.707) then the angle is 315

- The CAST Rule is a memory aid to help remember that

the Cosine ratio is positive in the 4th quadrant,

All the primary Trig ratios are positive in the first quadrant,

the Sine ratio is positive in the 2nd quadrant, and

the Tangent ratio is positive in the 3rd quadrant.

- Your Score Report appears after you have made 8 choices.

- Your Game Score is reduced by the number of butterfly hits.

- To slow the game speed repeat tap/click on the word

- To increase the game speed repeat tap/click on the word Math.

- Speed can also be adjusted with a keyboard's - and + keys.

- Refresh/Reload the web page to restart the game.

- Adjust the sound level of media on your device.

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