Notes Over 14.5 Writing Trigonometric Functions Write a function for the sinusoid. Positive Sine graph No vertical or horizontal shifts Amplitude: Period:

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Notes Over 14.5 Writing Trigonometric Functions Write a function for the sinusoid. Positive Sine graph No vertical or horizontal shifts Amplitude: Period:

Notes Over 14.5 Writing Trigonometric Functions Write a function for the sinusoid. Negative Cosine graph Vertical shift Amplitude: Period:

Notes Over 14.5 Writing Trigonometric Functions Write a function for the sinusoid. Positive Cosine graph Vertical shift Amplitude: Period:

Notes Over 14.5 Writing Trigonometric Functions Write a function for the sinusoid. Negative Sine graph Vertical shift Amplitude: Period:

Notes Over 14.5Modeling a Sinusoid 5. One complete breathing cycle for a human, consisting of inhaling and exhaling, takes place every 5 seconds on average. If the maximum air flow rate is 0.6 liters per second and varies sinusoidally over time, write a model for the air flow rate r (in liters per second) as a sine function of time t (in seconds). Positive Sine graph No vertical or horizontal shifts Amplitude: Period:

Notes Over 14.5 Modeling a Sinusoid 6. A beating heart consists of two phases. In the systolic phase blood rushes through the heart, and in the diastolic phase the heart relaxes. Write a model of the form r =a sin bt for a person whose systolic phase lasts 0.25 second and whose maximum blood flow rate is 0.13 liter per second. Amplitude: Period:

Notes Over 14.5