Mc-Graw Hill: Trigonometric graphs and models

Mc-Graw Hill: Trigonometric graphs and modelling

Sample modelling question:
NON-CALC

A marker is placed on the surface of a beach, and is used to measure how far up the beach a wave reaches over a period of 24 hours. It was calculated that the following equation could be used to model this data

Where 'D' is the distance away from the marker, and 't' is measured in hours

a) What is the furthest distance and closest distance from the marker that the wave reaches
b) At what times does the wave reach the furthest distance from marker A

Susie picks a position on the beach to sunbathe where she is 7.5 meters from the marker, if the waves come any closer, she will get wet.
c) At what times can she sunbathe?

Answers:
a) Furthest distance= 15 Closest: 5
b) 4 AM
c) t<12 U t>20

Question made by 'tape-side'. Please feel free to comment if you believe I have made any errors, or if this question does not make sense

Sketching and finding the equation of trigonometric graphs

Lancester's schools: Graphs of trigonometric fucntions
Periodic functions

Sketch the graphs of the following functions.
1. y = cos(x− π)
2. y = sin 2(x+ π)
3. y = 3cos(x+π)
4. y = −3cos(x+π)+2
5. Find a sin or cos function that has amplitude 2, period π, and for which f(0) = 2.

Sketch the graphs of the following functions, and find x-intercepts if they exist. If the following equations are hard to read, click and drag an equation into the the address bar, and the image should appear clearer 

Solving trigonometric equations

Classzone: Solving trigonometric equations
Lancestor schools: Solving Trigonometric equations

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