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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.

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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

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

What's your sign? 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 functions of any angle:

Θ lies in either I or IV

Important Vocabulary functions of any angle: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

II. Reference Angles functions of any angle:Example 2

Example 3 functions of any angle:

III. Trigonometric Functions of Real Numbers functions of any angle:

• 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 functions of any angle:

• Which trigonometric functions are even functions?

• Which trigonometric functions are odd functions?

Homework functions of any angle:

• 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