## Trigonometric approximation grid, Mathematics

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With a compass draw the arc associated with a 720° angle, it looks like a circle. With a protractor, label the angle in multiples of 45° and 30° up to 720°.  Notice 30° and 390° are in the same position thus they are co-terminal angles. Next on the same illustration, label the angle in multiples of -45° and -30° up to  -720°.  Negative angles are in the clockwise direction. Notice 330° and -30° are in the same position.  Moreover 330°, 690°, -30°, -390° are co-terminal angles because they are in the same position.

Do assignment 1 in radians.   With a compass draw the arc associated with a 4Π angle, it looks like a  circle. With a protractor, label the angle in multiples of Π/4 and Π/6 up to 4 π radians.  Notice Π/6 and 13Π/6 are in the same position thus they are co-terminal angles.  Next on the same illustration, label the angle in multiples of - Π/4 and - Π/6  up to -4π radians.  Negative angles are in the clockwise direction.  Notice 11Π/6 and - Π/6  are in the same position.  Moreover 11Π/6, 23Π/6, -Π/6, -13Π/6  are co-terminal angles because they are in the same position.

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