Pre-Calc Exam Notes 104

Pre-Calc Exam Notes 104 - 104 Chapter 5 Graphing and...

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104 Chapter 5 Graphing and Inverse Functions §5.1 θ f ( θ ) 0 1 1 π 6 π 3 π 2 2 π 3 5 π 6 π 5 π 4 3 π 2 7 π 4 2 π f ( θ ) = sin θ x y 1 x 2 + y 2 = 1 θ Figure 5.1.3 Unit circle defnition oF the sine Function Since the trigonometric Functions repeat every 2 π radians (360 ), we get, For example, the Following graph oF the Function y = sin x For x in the interval [ 2 π ,2 π ]: x y 0 1 1 π 4 π 2 3 π 4 π 5 π 4 3 π 2 7 π 4 2 π π 4 π 2 3 π 4 π 5 π 4 3 π 2 7 π 4 2 π y = sin x Figure 5.1.4 Graph oF y = sin x To graph the cosine Function, we could again use the unit circle idea (using the x -coordinate oF a point that moves around the circle), but there is an easier way. Recall From Section 1.5 that cos x = sin ( x + 90 ) For all x . So cos 0 has the same value as sin 90
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This note was uploaded on 01/21/2012 for the course MAC 1130 taught by Professor Dr.cheun during the Fall '11 term at FSU.

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