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| Points observed from the graph |
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| 1) The graph of sinx and cosx have no breaks and they lie between y=1 and y = -1. So sinx and cosx are continuous for all values of x and the values of sinx and cosx always lie between 1 and +1. Hence sinx and cosx are bounded function. |
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| 2) There are breaks in the graph of tanx. |
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| At these points tan q is not defined and tanx is a discontinuous function. The graph of tanx is not bounded and can assume all real values. |
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| If we compare the graph of y=a sin bx with y=sin x we observe that sin bx has values between +1 and -1 (both values inclusive) on the values of sinx. |
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| Example: |
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| Sketch the graphs of the following: |
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| (i) y = sin 3x and y = 2 sin 3x |
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| (ii) y = tan 2x |
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| (i) y = sin 3x and y = 2 sin 3x |
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| (ii) tan 2x |
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