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Home > PC > Chapter 7 > Lesson 7.1.2 > Problem 7-24

7-24.

The sine and cosine functions can be classified as even, odd, or neither. The diagrams below show why.

  1. This shows that ____ and ____.

    and

  2. Classify the and as either even or odd.

    Sine is odd, cosine is even.

Periodic curve labeled, y = cosine x, with 3 visible turning points, middle turning point at (0, comma 3), vertical segment from point on curve in third quadrant, labeled, f of negative x, to negative x axis, at point labeled, negative x, & vertical segment from point on curve in fourth quadrant, labeled, f of x, to positive x axis, at point labeled x, vertical segments are same length. Periodic curve labeled, y = sine x, with 4 visible turning points, passing through the origin, vertical segment from point on curve in third quadrant, labeled, f of negative x, to negative x axis, at point labeled, negative x, & vertical segment from point on curve in first quadrant, labeled, f of x, to positive x axis, at point labeled x, vertical segments are same length.