The Unit Circle with Radian Measures. 4.2 Trigonometric Function: The Unit circle.

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Presentation transcript:

The Unit Circle with Radian Measures

4.2 Trigonometric Function: The Unit circle

The Unit Circle A circle with radius of 1 Equation x 2 + y 2 = 1

The Unit Circle with Radian Measures

The Unit Circle: Radian Measures and Coordinates

Trig functions

Trig functions – Unit Circle The hypotenuse is 1!

Start here from Notebook Presentation

Lets find the Trig functions if Think where this angle is on the unit circle.

Find the Trig functions of

How about

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.

Determine whether sine, cosine, and tangent are even or odd functions Repeat for cosine and tangent. Then consider their reciprocal functions.

Even Function and odd trig functions Even – cosine and secant Odd – sine, cosecant, tangent and cotangent

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