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# Section 5.3 Trigonometric Functions of Any Angle PowerPoint PPT Presentation

Section 5.3 Trigonometric Functions of Any Angle. Objective: In this lesson you learned how to evaluate trigonometric functions of any angle. Important Vocabulary Define each term or concept. Reference angles Period. I. Introduction.

Section 5.3 Trigonometric Functions of Any Angle

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## Section 5.3 Trigonometric Functions of Any Angle

Objective: In this lesson you learned how to evaluate trigonometricfunctions of any angle.

### Important Vocabulary Define each term or concept.

• Reference angles

• Period

### I. Introduction

• Let θ be an angle in standard position with (x, y) a point on the terminal side of θ and

### Complete the following definitions of the trigonometric functions of any angle:

• Name the quadrants in which the sine function is positive.

• Name the quadrants in which the sine function is negative.

• Name the quadrants in which the cosine function is positive.

• Name the quadrants in which the cosine function is negative.

• Name the quadrants in which the tangent function is positive.

• Name the quadrants in which the tangent function is negative.

### Example 1

Θ lies in either I or IV

### Important Vocabulary Define each term or concept.

• Reference angles

Let θ be an angle in standard position. Its reference angle is the acute angle θ’ formed by the terminal side and the horizontal axis (page 390)

• Period

### III. Trigonometric Functions of Real Numbers

• The sine function’s domain is ______________ and its range is ___________.

• The cosine function’s domain is ____________ , and its range is _________ .

• The period of the sine function is _______. The period of the cosine function is ___________.

### Even and Odd

• Which trigonometric functions are even functions?

• Which trigonometric functions are odd functions?

### Homework

• Pg 397: #1, 3, 7, 13-19 all, 21, 23, 24, 25, 27, 29, 33, 39-53 odd

• Pg 398: #57, 59, 61, 65, 67, 69, 71, 75 77, 79, 81, 83, 85, 87, 91, 97, 99, 101, 103