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Graphing tangent, cotangent, secant, and cosecant; sinusoidal modeling — Homework
Identify the period and asymptote pattern first for tangent-family graphs; set up any model fully before evaluating it.
- 1.State the period of y = tan(x), and the location of its first two positive vertical asymptotes.
- 2.State the period of y = cot(3x).
- 3.Explain why y = csc(x) has a vertical asymptote at x=pi.
- 4.A location's average daily temperature is modeled by T(t) = 20cos((pi/6)(t-1)) + 60, with t in months (t=1 is January). Find the maximum temperature and the month in which it occurs.
- 5.Using the same model, find T(7) and explain what it represents.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 20 homework