Asymptotes will occur within the domain for the values of tantan that are undefined
tan-π8tan−π8
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tanπ8tanπ8
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To graph the tantan curve, start at x-axis of the lower domain (-π4)(−π4) and draw a curve heading up to the first asymptote (-π8)(−π8). This will cover half of a period of the curve.
Repeat the process until you reach the x-axis of the upper domain (π4)(π4), which will also show half of the curve.
First curve
Second curve
Third curve
Question 2 of 4
2. Question
Graph the trigonometric function within the domain -π2≤x≤2π−π2≤x≤2π
Asymptotes will occur within the domain for the values of cotcot that are undefined or when the value of tantan is 00
cot0cot0
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cotπcotπ
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cot2πcot2π
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To graph the cotcot curve, start at x-axis of the lower domain (-π2)(−π2) and draw a curve and heading down to the first asymptote at the y-axis. This will cover half of a period of the curve.
Repeat the process until you reach the x-axis of the upper domain (2π)(2π)
First curve
Second curve
Third curve
Question 3 of 4
3. Question
Graph the trigonometric function within the domain -1≤x≤1−1≤x≤1
Asymptotes will occur within the domain for the values of cotcot that are undefined or when the value of tantan is 00
cot-1cot−1
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cot0cot0
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cot1cot1
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To graph the cotcot curve, start at the lower domain (-1)(−1) and draw a curve heading down to the first asymptote at the y-axis. This will cover a period of the curve.
Repeat the process until you reach the x-axis of the upper domain (1)(1)