A tangent curve with labelled asymptotes
A tangent curve with labelled asymptotes
6 marks
TGM Original
Sketch y=tan(- 32x)+1 for - pi <= x <= pi, with x measured in radians. Label endpoints and turning points where they exist, and every vertical asymptote. State the period and explain why no amplitude is defined.
Solution:
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Answer:\(T=\dfrac{2 \pi}{3}\); \(\text{asymptotes:}\hspace{0.5em}x=- \pi,\ x=- \dfrac{\pi}{3},\ x=\dfrac{\pi}{3},\ x=\pi\); \(\text{no amplitude}\).
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