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Magazine Problem 1
The shortest repeating portion of the graph of a periodic function is called a(n) ______
Problem 2
Given an angle \(\theta\) in standard position with its terminal side in Quadrant III, explain how you can use a reference angle to find \(\cos \theta\).
Problem 2
VOCABULARY Compare an angle of elevation to an angle of depression.
Problem 3
WRITING Explain what it means to solve a right triangle.
Problem 3
What is a phase shift? Give an example of a sine function that has a phase shift.
Problem 4
What is the midline of the graph of the function \(y=2 \sin 3(x+1)-2\) ?
Problem 4
Find the exact value of the expression. \(\tan 195^{\circ}\)
Problem 10
\(y=3 \sin 0.2 x+6\)
Problem 11
Use the unit circle to evaluate the six trigonometric functions of \(\theta\). \(\theta=\frac{\pi}{2}\)
Problem 12
MODELING WITH MATHEMATICS A middle-A tuning fork vibrates with a frequency \(f\) of 440 hertz (cycles per second). You strike a middle-A tuning fork with a force that produces a maximum pressure of 5 pascals. Write and graph a sine model that gives the pressure \(P\) as a function of the time \(t\) (in seconds).
