The tangent can be determined with a collection of mathematical formulas but is most commonly determined by dividing the sine function by the cosine function.

Trigonometric graphs can be sketched when you know the amplitude, period, phase and maximum and minimum turning points. Learn about graphs of trigonometric functions in this National 5 Maths guide.

Working with the graphs of trigonometric functions Trigonometric graphs Trigonometric graphs can be sketched when you know the amplitude, period, phase and maximum and minimum turning points.

From our ship-mast example before, the relationship between an angle and its tangent can be determined from its graph, shown below. The graphs of sine and cosine are included as well.

Interestingly enough, the trigonometric functions that define those relationships are also closely tied to circles. Needless to say, this makes trig one of the hardest topics in math for students ...

Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...