Trigonometric and Polar Functions

Which term describes how many cycles a sinusoidal function completes in 2π units?

Which value determines the period of a cosine function in y = cos(bx)?

If the volume of tank oscillates between 2000 gallons at its lowest and 5000 gallons at its highest due to a pumping system that operates on a sinusoidal schedule every 8 hours what is the approximate volume rate of change per hour when it is filling the most quickly?

What is the amplitude of the function $y = -5 ext{sin}(x)$?

If the function $f(x) = \frac{x^2 - 4}{x - 2}$ has a removable discontinuity, what is the value of $f(2)$ after the discontinuity has been removed?

What does "sin" represent in the equation $y = \\sin(x)$?

What type of transformation occurs if we change $f(x) = \sin(x)$ to $g(x) = -\sin(x)$?

What effect does adding $\frac{\pi}{6}$ to every input value (in radians) have on the graph of $k(t)=\cos(t)$?

What is the effect of the phase shift constant "c" in the model form $f(\theta)=A\cos(B\theta + C)+ D$ when measuring horizontal shift on the graph?

If y = sin(x) has a period of $2\pi$, what is an equivalent expression for a sinusoid with double that period?