Graphs of the Sine and Cosine Functions

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7.6 Graphs of the Sine and Cosine Functions
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The Graph of y sin x
y
x
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(0, 0)
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Characteristics of the Sine Function
1. The domain is the set of all real numbers.
2. The range consists of all real numbers from -1
to 1, inclusive.
3. The sine function is an odd function
(symmetric with respect to the origin).
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Characteristics of the Sine Function
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The Graph of y cos x
y
x
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(0, 1)
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Characteristics of the Cosine Function
1. The domain is the set of all real numbers.
2. The range consists of all real numbers from -1
to 1, inclusive.
3. The cosine function is an even function
(symmetric with respect to the y-axis).
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Characteristics of the Cosine Function
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The Graph of y tan x
y
x
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(0, 0)
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Characteristics of the Tangent Function
1. The domain is the set of all real numbers,
except odd multiples of
2. The range consists of all real numbers.
3. The tangent function is an odd function
(symmetric with respect to the origin).
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Characteristics of the Tangent Function
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