The required answer as a comma-separated lists are (0, 0), ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex], [tex]\frac{1}{\sqrt{2} }[/tex]), ( [tex]\pi[/tex], 0)
Given the equation of a sine graph expressed as:
[tex]y=sinx[/tex] for all values of x within the range 0 < x < 2π
We need to get the value of y for the values of x within the range as shown:
If x = 0;
y = sin0
y = 0
The required solution is (0, 0)
If x = 30;
y = sin30
y = 0.5
The required solution is ([tex]\frac{\pi}{6}[/tex], 0.5)
If x = [tex]\frac{\pi}{4}[/tex];
y = sin [tex]\frac{\pi}{4}[/tex]
y = [tex]\frac{1}{\sqrt{2} }[/tex]
The required solution is ( [tex]\frac{\pi}{4}[/tex], [tex]\frac{1}{\sqrt{2} }[/tex])
If x = [tex]\pi[/tex]
y = sin [tex]\pi[/tex]
y = 0
The required solution is at ( [tex]\pi[/tex], 0)
If x = [tex]2\pi[/tex]
y = sin[tex]2\pi[/tex]
y = 0
Hence the required answer as a comma-separated lists are (0, 0), ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex], [tex]\frac{1}{\sqrt{2} }[/tex]), ( [tex]\pi[/tex], 0)
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