MATH
Math 41 Section 7.6

# Math 41 Section 7.6 - Math 41 7.6 Graphs of Sine and Cosine...

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Math 41 7.6 Graphs of Sine and Cosine Functions Properties of the Sine Function y = sin x 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, as the symmetry of the graph with respect to the origin indicates. 4. The sine function is periodic, with period 2π. 5. The x-intercepts are …,-2π, -π, 0, π, 2π, 3π,…; the y-intercept is 0. 6. The maximum value is 1 and occurs at x = …, -3π/2, π/2, 5π/2, 9π/2,…; the minimum value is -1 and occurs at x = …,-π/2, 3π/2, 7π/2, 11π/2,…. Properties of the Cosine Function y = cos x 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, as the symmetry of the graph with respect to the y-axis indicates. 4. The cosine function is periodic, with period 2π. 5. The x-intercepts are x = …, -3π/2, -π/2, π/2, 3π/2, 5π/2,…; the y-intercept is 1. 6. The maximum value is 1 and occurs at x = …, -2π, 0, 2π, 4π, 6π,…; the minimum value

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