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Answer five questions only from this section. All questions carry equal marks. Copy and complete the table of values for y = 3 cos x, 30° ≤ x ≤ 330°

Mathematics

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Graph of y = 3cos(x)

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Key points of y = 3cos(x)
Pointxy
x-intercept90°0
Minimum180°−3
x-intercept270°0

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Question 6:
The function is y=3cos⁡xy = 3 \cos x for 30∘≤x≤330∘30^\circ \le x \le 330^\circ.

a) Copy and complete the table of values for y=3cos⁡xy = 3 \cos x.

Step 1: Calculate the values of yy for each given xx.

  • For x=30∘x = 30^\circ: y=3cos⁡30∘=3×32≈3×0.866=2.598≈2.6y = 3 \cos 30^\circ = 3 \times \frac{\sqrt{3}}{2} \approx 3 \times 0.866 = 2.598 \approx 2.6
  • For $x = 60
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