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Advanced Math
6.6-6.8 Review Worksheet
In Class #1-5, Homework #6-10
Name _____________________________
Writing Sinusoidal Models
1. As you ride the Ferris wheel, your distance from the ground varies sinusoidally with time. When
the last seat is filled and the Ferris wheel starts at = 0, you count that is takes you 20 seconds
to reach the bottom again. The highest point on the ferris wheel is 55 feet above the ground. The
wheel makes 2 revolutions every minute and the diameter of the wheel is 50 feet. Write a
sinusoidal model for your height above the ground while riding the ferris wheel.
Graphing Csc, Sec, Tan, and Cot Functions
2. Graph
4 2sec
3. Graph
tan 3
90
Principal Values of Inverse Trig Functions
4.
Find the value of
1
1
5.
Find the value of sin
1
2
2
1
1
Writing Sinusoidal Models
6. The maximum average monthly temperature in Quito, Ecuador is 75° (in June).
The minimum
average monthly temperature is 53 (in December).
The median (middle) average monthly
temperature is recorded during the month of March ( = 3). Write a sinusoidal model for the
average monthly temperature in Quito.
Graphing Csc, Sec, Tan, and Cot Functions
7. Complete the chart
Function
Amplitude
3 5csc 4
tan
8. Graph
1
3
Period
Vertical Shift
Horizontal Shift
40
6
3csc
1
2
4
Principal Values of Inverse Trig Functions
restricted range…
so answer should be in Quadrants…
1
___________________
___________________
1
___________________
___________________
1
___________________
___________________
9. Find the value of
cos tan
4
10. Find the value of cos
1
sin
1
1
Adv Math/Trig
Practice Chapter 6 Test
1.
Graph
2. Graph
Name___________________________________
2 3cos 4
2cot
2
3
120
3
3. Write the SINE and COSINE equation to represent the graph shown.
4. A rock gets lodged in a car tire. The rock reaches its highest point at =3 seconds. The lowest height of the
rock is 0 inches (ground). The tire’s diameter is 16 inches. The tire rotates 30 times every minute. Write a
sinusoidal model for the position of the rock.
5. Evaluate
1 cos
1
1
6. Evaluate sin
1 0
1
3