4. Draw the graph of just 1 period of on the axes below. y = sin(20x) 5. Draw the graph of just 1 period of on the axes below. y = sin(30x) 6. Draw the graph of just 1 period of on the axes below. y = cos(30x) TRIGONOMETRICAL GRAPH PROBLEM 1. When a fire alarm goes off the sound level instantly starts at 100 decibels and starts to oscillate between 80 to 120 decibels in a sine wave pattern. V, t The actual equation of the sound level at seconds is: V = 100 + 20sin(45t) V, t Draw a clear graph of the volume at seconds on the grid below; (a) Find the number of seconds taken for the volume to reach its maximum. (b) Find the number of seconds taken for the volume to reach its minimum. (c) A volume of 110 decibels and above is considered to damage people’s hearing. Find the length of time in each cycle that the level is 110 decibels and over. If your graph is very accurate, you could read these values from your graph or you could use your graphics calculator and see when the graphs of y = 110 y = 100 + 20sin(45t) and intersect. Make sure your calculator is set in degrees. (d) It is decided to change the period of the alarm from 8 seconds to 6 seconds and to start the volume at 80 decibels and only reach a maximum of 110 decibels.
4. Draw the graph of just 1 period of y = sin(20x) on the axes below. 5. Draw the graph of just 1 period of y = sin(30x) on the axes below. 6. Draw the graph of just 1 period of y = cos(30x) on the axes below. TRIGONOMETRICAL GRAPH PROBLEM 1. When a fire alarm goes off the sound level instantly starts at 100 decibels and starts to oscillate between 80 to 120 decibels in a sine wave pattern. The actual equation of the sound level V, at t seconds is: V = 100 + 20sin(45t) Draw a clear graph of the volume V, at t seconds on the grid below; (a) Find the number of seconds taken for the volume to reach its maximum. (b) Find the number of seconds taken for the volume to reach its minimum. (c) A volume of 110 decibels and above is considered to damage people’s hearing. Find the length of time in each cycle that the level is 110 decibels and over. If your graph is very accurate, you could read these values from your graph or you could use your graphics calculator and see when the graphs of y = 110 and y = 100 + 20sin(45t) intersect. Make sure your calculator is set in degrees. (d) It is decided to change the period of the alarm from 8 seconds to 6 seconds and to start the volume at 80 decibels and only reach a maximum of 110 decibels.
28_trig_graphs____for_website.docx