sketch the graph of y=3sin2x
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Sin x is a periodic function with period 2π, therefore sin 2x will be period function of period 2π/2 = π
Also,
-1 ≤ sin 2x ≤ 1
∴ -3 ≤ 3sin 2x ≤ 3
Step by step Explanation:
With the respect to the question to draw the graph of y = 3sin 2x, draw the graph of y = sin x and on X– axis change k to k/2 , means write k/2 wherever it is k. For example, write 15° in place of 30°, 45° in place of 90° etc.
On Y- axis change k to 3k , means replace 3k wherever it is k. For example write 3 in place of 1, -3 in place of -1 , 1.5 in place of 0.5 etc.
The graph of y = 3sin 2x will be as attached!
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