Trigonometry - Trigonometric Graphs and Parameters

Trigonometry - Trigonometric Graphs and Parameters

The equation of curve of a curve is \(y = -3 - 4 \sin(5x)\) for \( 0 \leq x \leq \frac{7}{10}\pi\).

  1. Write down the maximum and minimum values of \(y\).
  2. State the amplitude and the period of the function.
  3. Hence, sketch the graph of \(y\).

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Answer:(i) Maximum 1; minimum -7. (ii) Amplitude 4; period 2pi/5.

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