The diagram shows the graph of $y = \tan bx$, where $b 0$, for \(-\frac{2\pi}{3}

Question

The diagram shows the graph of $y = \tan bx$, where $b > 0$, for $-\frac{2\pi}{3} < x < \frac{2\pi}{3}$. Find the period of $y$. Hence find the value of $b$. Explain why the amplitude of $y = \tan bx$ is undefined.

Accepted Answer

(i) period $= \dfrac{2\pi}{3}, b = \dfrac{3}{2}$; (ii) amplitude undefined because tangent is unbounded

Trigonometry - Trigonometric Graphs and Parameters

Trigonometry - Trigonometric Graphs and Parameters

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