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Sketching the graph of a sine or cosine function

# Sketching the graph of a sine or cosine function -...

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Sketching the graph of a sine or cosine function: Problem type 1 Graph the equation . Let us consider the graph of the general equation . Since the cosine function ranges from to , the function ranges from to . Its amplitude is thus . Since completes one cycle from to , the function completes one cycle as varies from to , or, solving for , as varies from to . The difference between these two values is the period of the function. It thus has the same period as the basic cosine function. The first value is referred to as its phase shift . The key points of its graph are the points that are

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Unformatted text preview: -intercepts, minima, or maxima. They occur every fourth of a period, or every , starting from the phase shift . In other words, the key points have coordinates such that where , , , or if the point is an -intercept, a minimum, or a maximum, respectively . In our case, we have and . The function thus has amplitude , period , and phase shift . The key points of its graph are the point of coordinates such that where , , , or if the point is an -intercept, a minimum, or a maximum, respectively . The key points for are , , , , and . We can use these points to graph ....
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Sketching the graph of a sine or cosine function -...

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