TRIGONOMETRIC FUNCTIONS
-The trigonometric ratios of all angles is done using a unit circle.
-The angle q is measured anti-clockwise (counter clockwise) from the positive direction of the x-axis.
-Negative angles can be opened clockwise from the positive direction of the x-axis.
-To find the trigonometric ratios of an angle, find the appropriate position for the radius and then find the coordinates of the point on the unit circle
-There is an infinite set of angles all of which give these values for the main trigonometric ratios. These are all separated by one complete turn or 360 degrees or periodic behavior.
*When the trigonometric functions are used, the angles are almost always measured in radians (a different way of measuring angles).
-Amplitude of a function is the distance between the center line and one of the maximum points.
-The third trigonometric function is tanq=sinq/cosq and is defined for all angles for which the cosine function is non-zero.
THE SINE FUNCTION:
*Features of sine graph:
(a) Maximum value=1, Minimum value=-1
(b) Period=360° (i.e., graph repeats itself every 360°)
(c) If P moves in clockwise direction, y-values continue in their periodic nature (see dashed part of graph).
THE COSINE FUNCTION:
*Features of cosine graph:
(a) Maximum value =1, Minimum value=-1
(b) Period-360° (i.e., graph repeats itself every 360°)
(c) If P moves in clockwise direction, x-values continue in their periodic nature.
EQUATION:
* sin/cos = a/b = tan
