MATH 1330 Section 5.4b.

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MATH 1330 Section 5.4b

Inverse Trigonometric Functions and Models

Popper 19: Question 1: a. 7 4 b. 33 4 c. 4 33 33 d. 4 7

Popper 19: Question 2: a. 12 13 b. 5 13 c. 12 5 d. 5 12

Models As we know, trigonometric functions repeat their behavior. Breathing normally, brain waves during deep sleep are just a couple of examples that can be described using a sine function.

Popper 20: 1. a. 2𝜋 365 b. 12 c. 3 d. -79 2. a. 2𝜋 365 b. 365 c.79 d. 183

Popper 20: 3. Amplitude 4. Period 5. Equation a. 0.6 b. 1.2 c. 2.5 d. 5 4. Period a. 0.6 b. 1.2 c. 2.5 d. 5 5. Equation 𝑎. 𝑓 𝑥 =1.2sin⁡( 2𝜋 5 𝑥) 𝒃. 𝑓 𝑥 =0.6sin⁡( 2𝜋 5 𝑥) c. 𝑓 𝑥 =0.6sin⁡(5𝑥) d. 𝑓 𝑥 = 2𝜋 5 sin⁡(0.6𝑥)