Section 5.2 Notes In this lesson, you will learn how to find the exact value of the sin, cos, and tan of any special angle of the unit circle.

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Presentation transcript:

Section 5.2 Notes In this lesson, you will learn how to find the exact value of the sin, cos, and tan of any special angle of the unit circle.

You will not be asked to memorize the exact value of the sin, cos, and tan of the special angles that are not in the first positive revolution of the unit circle, but you will be expected to be able to find them.

From the answer to today’s first do now question, if two angles have the same reference angle, the absolute value of exact value of a trigonometric function of those angles is equal. For example, since 30º and 210º have the same reference angle

If two angles are coterminal, then the exact value of a trigonometric function of those angles is equal. For example, since 30º and 390º are coterminal

During the next two weeks you will be memorizing the exact value of the sin, cos, and tan of the special angles in the first positive revolution of the unit circle (angles between 0º and 360º or 0 and 2π). Assuming that you do, how can you find the exact value of the sin, cos, and tan of any special angle of the unit circle?

In this lesson, you will learn how to find the exact value of the csc, sec, and cot of any special angle in the first positive revolution of the unit circle (angles between 0º and 360º or 0 and 2π).

You will not be asked to memorize the exact value of the csc, sec, and cot of the special angles of the unit circle, but you will be expected to be able to find them. Assuming that you memorize the exact value of the sin, cos, and tan of the special angles in the first positive revolution of the unit circle, how can you find the exact value of the csc, sec, and cot of special angles in the first positive revolution of the unit circle?

The exact value of a reciprocal trigonometric function of a special angle is equal to the reciprocal of the exact value of the reciprocal trigonometric function of that angle. Since sine and cosecant are reciprical trigonometric functions