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 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

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
Important Vocabulary Define each term or concept.

  • Reference angles

  • Period


I introduction
I. Introduction

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



What s your sign
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
Example 1 functions of any angle:

Θ lies in either I or IV


Important vocabulary define each term or concept1
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 example 2
II. Reference Angles functions of any angle:Example 2



Example 3
Example 3 functions of any angle:


Iii trigonometric functions of real numbers
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
Even and Odd functions of any angle:

  • Which trigonometric functions are even functions?

  • Which trigonometric functions are odd functions?


Homework
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


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