section 5 3 trigonometric functions of any angle
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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.

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?
  • 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

Θ lies in either I or IV

important vocabulary define each term or concept1
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
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
Even and Odd
  • Which trigonometric functions are even functions?
  • Which trigonometric functions are odd functions?
homework
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
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