Trigonometry Unit 2 SINE sine function ft sint

Trigonometry Unit 2

SINE �sine function, f(t) = sin(t) This is the basic graph for sine It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to -1.

COSINE cosine function, f(t) = cosine(t) This is the basic graph for Cosine is just like Sine, but it starts at 1 and heads down until π radians (180°) and then heads up again.

TANGENT function, f(t) = tangent(t) This is the basic graph for tangent. The function is officially undefined, because it could be positive Infinity or negative Infinity.

Transformations of the Graphs Vertical Shift � The graph can be obtained by shifting the graph vertically units.

Transformations of the Graphs Amplitude �The graph is the same then the graph is stretched and reflected across the horizontal axis. The number is called the amplitude of the function.

Transformations of the Graphs Phase Shift �The graph can be obtained by shifting the graph horizontally units. If is positive, the graph is shifted to the right and if is negative, the graph is shifted to the left. The number is called the phase shift.

Transformations of the Graphs Period �the graph can be obtained by horizontally stretching or shrinking the graph. A horizontal shrink by a factor of T occurs if T >1 and a horizontal shrink by a factor of T occurs if T < 1.

UNIT CIRCLE The unit circle can be very helpful when you need to convert from degrees to radians or radians to degrees. Also you can use the unit circle to compute the trigonometric function and its inverse.

Example