A tangent curve with labelled asymptotes
A tangent curve with labelled asymptotes
6 marks
TGM Original
Sketch y=3tan(13x)+2 for - 3 pi2 <= x <= 3 pi2, 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:\(T=3 \pi\); \(\text{asymptotes:}\hspace{0.5em}x=- \dfrac{3 \pi}{2},\ x=\dfrac{3 \pi}{2}\); \(\text{no amplitude}\).
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