ProblemoftheDay
Findtheamplitude,period,phaseshiftand
verticalshiftofthegraph.
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Trigonometric Functions: Finding Amplitude, Period, Phase Shift, and Vertical Shift, Lecture notes of Signals and Systems
Steps for finding the amplitude, period, phase shift, and vertical shift of various trigonometric functions, including sine, cosine, tangent, cotangent, cosecant, and secant. It also includes examples and homework problems.
What you will learn
- How do you find the period of the cosine function?
- How do you graph the cotangent function?
- What is the amplitude of the sine function?
- What is the phase shift of the tangent function?
- What is the vertical shift of the secant function?
Typology: Lecture notes
2021/2022
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Problem of the Day Find the amplitude, period, phase shift and vertical shift of the graph.
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which graph
starting point
midline(cuts graph in half)
find k,a,b,c
find parentheses
write function
Tangent Cotangent
Graphing the other Trigonometric Functions
Tangent/Cotangent
Find the a value and period of y = cot(x/4). Then sketch a graph.
Find the a value, period, and phase shift and then graph the function.
Find the a value, period, and phase shift and then graph the function.
Find the amplitude, period, and phase shift for the given graph and then write the function.
Find the amplitude, period, and phase shift for the given graph and then write the function.
67 Writing Equation problems pg 489490: 68 Readings and Examples pgs 493499 Homework: pgs 500:58,11,12,17,27(ignore intervals, graph 23 periods)