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Amplitude and Period of Sine and Cosine

Amplitude and Period of Sine and Cosine. Section 6.4. Periodic Functions. Functions are periodic when they have intervals that repeat themselves The interval that repeats itself is called the period . The Goal:.

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Amplitude and Period of Sine and Cosine

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  1. Amplitude and Period of Sine and Cosine Section 6.4

  2. Periodic Functions • Functions are periodic when they have intervals that repeat themselves • The interval that repeats itself is called the period.

  3. The Goal: • In this section we will perform transformations using sine and cosine as our parent function.

  4. Amplitude • The amplitude of the function y = A sin x and y = A cos x is the absolute value of A, or |A|.

  5. Example • State the amplitude: • Y = 1/6 cos x • Y = -2 sin x

  6. Period • The period of the function y = A sin k x and y = A cos k x is 2π/|k|.

  7. Example • State the period: • Y= cos ½ x • Y= sin 3x

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