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Pre-Calc Exam Notes 107

# Pre-Calc Exam Notes 107 - Draw the graph of y =− sin x...

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Graphing the Trigonometric Functions Section 5.1 107 The graph of y = cot x can also be determined by using cot x = 1 cot x . Alternatively, we can use the relation cot x =− tan ( x + 90 ) from Section 1.5, so that the graph of the cotangent function is just the graph of the tangent function shifted to the left by π 2 radians and then reflected about the x -axis, as in Figure 5.1.9: x y 0 8 6 4 2 2 4 6 8 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 = cot x Figure 5.1.9 Graph of y = cot x Example5.1
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Unformatted text preview: Draw the graph of y =− sin x for 0 ≤ x ≤ 2 π . Solution: Multiplying a function by − 1 just reFects its graph around the x-axis. So reFecting the graph of y = sin x around the x-axis gives us the graph of y =− sin x : x y − 1 1 π 4 π 2 3 π 4 π 5 π 4 3 π 2 7 π 4 2 π y =− sin x Note that this graph is the same as the graphs of y = sin ( x ± π ) and y = cos ( x + π 2 )....
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