A sine curve

A sine curve

6 marks
TGM Original
Sketch y=3sin(-2x)-1 for 0 <= x <= 180, with x measured in degrees. Label endpoints and turning points. State the amplitude, period and range on this domain.

Solution:

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Answer:\(A=3\); \(T=180^\circ\); \(-4\le y\le 2\); \(\text{key points:}\hspace{0.5em}(0,-1),\ (45,-4),\ (90,-1),\ (135,2),\ (180,-1)\).

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