Understanding Trigonometric Functions

To solve trigonometric equations.

To memorize trigonometric identities.

To understand the analytic definition of trig functions.

To learn how to graph trig functions point by point.

The frequency of the function.

The period of the function.

The amplitude of the function.

The phase shift of the function.

By multiplying the coefficient of x by 2π.

By dividing 2π by the coefficient of x.

By adding 2π to the coefficient of x.

By subtracting the coefficient of x from 2π.

1/2π

4π

π

2π

1

2

1/2

4

By checking the value at x = 0.

By checking the period.

By checking the frequency.

By checking the amplitude.

0

1

2

-2

-2

2

1

0

Cosine starts at 0, sine starts at -1.

Cosine starts at 0, sine starts at 1.

Cosine starts at -1, sine starts at 0.

Cosine starts at 1, sine starts at 0.

It becomes a sine graph.

It becomes a tangent graph.

It becomes a cotangent graph.

It becomes a secant graph.