Multiple Choice
Below is a graph of the function . Determine the value of b.
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10. Graphing Trigonometric Functions
Graphs of Tangent and Cotangent Functions
Multiple Choice
Below is a graph of the function . Determine the value of b.
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B
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Verified step by step guidance1
Identify the period of the tangent function from the graph. The period is the distance between two consecutive vertical asymptotes.
From the graph, observe that the vertical asymptotes occur at x = π, 3π, 5π, etc. The distance between these asymptotes is 2π.
Recall that the period of the function y = tan(bx) is given by π/b.
Set the period π/b equal to the observed period 2π from the graph: π/b = 2π.
Solve for b by multiplying both sides by b and then dividing by 2π: b = 1/2.
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