Trigonometry - Trigonometric Graphs and Parameters

Trigonometry - Trigonometric Graphs and Parameters

The equation of a curve is \(y = 2 \cos 2x + 4\) for \( 0 \leq x \leq 2\pi\).

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

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Answer:(i) Maximum 6; minimum 2. (ii) Amplitude 2; period pi; range 2<=y<=6.

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