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4MA1/2H Jun 2022, Question 23: Trigonometric Graphs and Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 2 marks

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The question, in short

Using the sketch of y = cos(x/2)°, give the coordinates of the point where the curve first meets the positive x-axis and of the first minimum point.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (i) · 1 mark

State the coordinates of the first point on the positive x-axis where the curve crosses.

  1. 1Solve cos(x/2) = 0
  2. 2x/2 = 90
  3. 3x = 180
  4. 4(180, 0)

Answer(180, 0)

Part (ii) · 1 mark

State the coordinates of the curve's first minimum point.

  1. 1cos is −1 when the angle is 180°
  2. 2So x/2 = 180, giving x = 360
  3. 3(360, −1)

Answer(360, −1)

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