Trigonometric Functions-Graphs

In this worksheet you will use the definition of the t- functions to plot the graphs of all six trigonometric functions.[br]The first applet is for you to explore and observe how the graph of sine function is formed. In the other applet you will plot graph of cosine, tangent , secant and cosecant function as a point moves around unit circle.

Cosine, tangent and cotangent functions

With reference to the following applet:[br]To plot the cosine function's graph, which of the following points should be plotted and traced?

(y(B),d) (d,x(B)) (x(B),d) (d,y(B))

With reference to the following applet:[br]To plot the Tangent function's graph, which of the following points should be plotted and traced?

(d,x(B)/y(B)) (y(B)/(x(B),d) (d,y(B)/x(B)) (x(B)/y(B),d)

Plot and trace suitable points to get the graph of cosine, tangent and cotangent function

Plot suitable points to trace graph of secant and cosecant function.

Secant and Cosecant Functions

From the graph, identify the domain of cosecant function

[math]\mathbb{R}-\left\{\frac{n\pi}{2}:n\in\mathbb{Z}\right\}[/math] [math]\mathbb{R}-\left\{n\pi:n\in\mathbb{Z}\right\}[/math]- [math]\mathbb{R}[/math]

From the graph, identify the range of secant and cosecant functions.

R-(-1,1) R R-[ -1, 1]

Trigonometric Functions-Graphs

Cosine, tangent and cotangent functions

Plot and trace suitable points to get the graph of cosine, tangent and cotangent function

Plot suitable points to trace graph of secant and cosecant function.

Secant and Cosecant Functions

Information: Trigonometric Functions-Graphs