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Calculate values for y = ((1)/(2)x).

Mathematics

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Graph of y = 1/2x

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x-intercept00

Here's a complete solution for the problem.

19. Complete the following table for the given functions

Step 1: Calculate values for y=sin⁡(12x)y = \sin\left(\frac{1}{2}x\right).
We substitute each xx value into the function.

  • For x=0x=0: y=sin⁡(0)=0y = \sin(0) = 0
  • For x=π2x=\frac{\pi}{2}: y=sin⁡(π4)=22≈0.71y = \sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2} \approx 0.71
  • For x=πx=\pi: y=sin⁡(π2)=1y = \sin\left(\frac{\pi}{2}\right) = 1
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