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Complete the table by substituting x values into y = 2cos(x/2) and y = 3sin(x), rounding to one decimal place.

Mathematics

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Part (a): Complete the table

To complete the table, we substitute the given xx values into the equations y=2cos⁡12xy = 2\cos\frac{1}{2}x and y=3sin⁡xy = 3\sin x, rounding each result to one decimal place.

For y=2cos⁡12xy = 2\cos\frac{1}{2}x:

  • x=30∘:y=2cos⁡(15∘)=2(0.9659)≈1.9x = 30^\circ: y = 2\cos(15^\circ) = 2(0.9659) \approx 1.9
  • $x = 120^\circ: y = 2\cos(60^\circ) = 2(0.5
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