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when 2cosx-1=0

cosx=1/2

x = π/3 or 5π/3 (2π-π/3)

when x = (2k-1)π, it has the minimum value of 2x(-1)-1=-3

when x=2kπ, it has the maximum value of 2x1-1=1

cosx=1/2

x = π/3 or 5π/3 (2π-π/3)

when x = (2k-1)π, it has the minimum value of 2x(-1)-1=-3

when x=2kπ, it has the maximum value of 2x1-1=1

Date Posted:
5 years ago

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Instead of translating the graph, translate the axis in the opposite direction. This works because of the idea of relative motion. One advantage of this method is that you don't need to redraw the graph. You only need to draw a new axis.

Date Posted:
5 years ago

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Draw cos graph with amplitude = 2 and then displace 1 unit downward.

Date Posted:
5 years ago