The Unit Circle and Circular Functions Trigonometry Section 3.3.

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Presentation transcript:

The Unit Circle and Circular Functions Trigonometry Section 3.3

The Unit Circle

Circular Functions

Understanding the unit circle… π6π6

π4π4

π3π3

Complete the Unit Circle

Example 1 Find the exact values of Sin (-3π) Cos (-3π) Tan (-3π)

Example 2 Use the unit circle to find the exact values.

Example 3 Find a calculator approximation for each circular function value. A) sin 3.42 B) tan.8234 C) sec D) csc ( )

Example 4 Approximate the value of s in the interval [0, ] if sin s =.3210 Find the exact value of s in the interval [, 2π] if tan s = -

Practice