A sine curve

A sine curve

6 marks
TGM Original
Sketch y=sin(13x)-2 for - 3 pi <= x <= 3 pi, with x measured in radians. Label endpoints and turning points. State the amplitude, period and range on this domain.

Solution:

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Answer:\(A=1\); \(T=6 \pi\); \(-3\le y\le -1\); \(\text{key points:}\hspace{0.5em}(- 3 \pi,-2),\ \left(- \dfrac{3 \pi}{2},-3\right),\ (0,-2),\ \left(\dfrac{3 \pi}{2},-1\right),\ (3 \pi,-2)\).

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