quadrantal angle · Trigonometric Functions of Any Angle Let O be any angle in standard position...

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Transcript of quadrantal angle · Trigonometric Functions of Any Angle Let O be any angle in standard position...

• quadrantal angle

• reference angle

• unit circle

• circular function

• periodic function

• period

Evaluate Trigonometric Functions Given a Point

Let (–4, 3) be a point on the terminal side of an angle θ

in standard position. Find the exact values

of the six trigonometric functions of θ.

Let (–3, 6) be a point on the terminal side of an angle Ө

in standard position. Find the exact values

of the six trigonometric functions of Ө.

Evaluate Trigonometric Functions of Quadrantal Angles

A. Find the exact value of cos π. If not defined, write undefined.

Evaluate Trigonometric Functions of Quadrantal Angles

B. Find the exact value of tan 450°. If not defined, write undefined.

Evaluate Trigonometric Functions of Quadrantal Angles

C. Find the exact value of . If not defined, write undefined.

Find the exact value of sec If not defined, write undefined.

Find Reference Angles

A. Sketch –150°. Then find its reference angle.

Answer: 30°

Find Reference Angles

Answer:

B. Sketch . Then find its reference angle.

Find the reference angle for a 520o angle.

Use Reference Angles to Find Trigonometric Values

A. Find the exact value of .

Use Reference Angles to Find Trigonometric Values

B. Find the exact value of tan 150º.

Use Reference Angles to Find Trigonometric Values

C. Find the exact value of .

Find the exact value of cos .

End of lesson 1, beginning of lesson 2