Unformatted text preview: Draw the graph of y =− sin x for 0 ≤ x ≤ 2 π . Solution: Multiplying a function by − 1 just reFects its graph around the xaxis. So reFecting the graph of y = sin x around the xaxis gives us the graph of y =− sin x : x y − 1 1 π 4 π 2 3 π 4 π 5 π 4 3 π 2 7 π 4 2 π y =− sin x Note that this graph is the same as the graphs of y = sin ( x ± π ) and y = cos ( x + π 2 )....
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 Fall '11
 Dr.Cheun
 Calculus, Trigonometry, Leonhard Euler, Euler's formula

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