The Unit Circle with Radian Measures

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The Unit Circle with Radian Measures

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4.2 Trigonometric Function The Unit circle
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The Unit Circle

• A circle with radius of 1
• Equation x2 y2 1

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The Unit Circle with Radian Measures

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The Unit Circle Radian Measures and Coordinates

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Trig functions

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Trig functions Unit CircleThe hypotenuse is 1!

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• Start here from Notebook Presentation

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Lets find the Trig functions if

• Think where this angle is on the unit circle.

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Find the Trig functions of

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How about

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Definition of a Periodic Function

• Notice that that x and y values are repeated for
  all values of past . Thus the sine
  and cosine functions are periodic.
• A function f is periodic if there exist a
  positive real number c such that
• f(t c) f(t) for all values of t.
• The smallest c is called the period.

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Determine whether sine, cosine, and tangent are
even or odd functions

• Repeat for cosine and tangent.
• Then consider their reciprocal functions.

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Even Function and odd trig functions

• Even cosine and secant
• Odd sine, cosecant, tangent and cotangent

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H Dub

• 4-2 Pg. 299 1-18, 25-32, 37, 39, 41 and (43-48
  calculator)