A tangent curve with labelled asymptotes
A tangent curve with labelled asymptotes
6 marks
TGM Original
Sketch y=tan(2x)-1 for 0 <= x <= 180, with x measured in degrees. 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:\(T=90^\circ\); \(\text{asymptotes:}\hspace{0.5em}x=45^\circ,\ x=135^\circ\); \(\text{no amplitude}\).
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