Exam 5: Trigonometric Functions of Real Numbers

Find the exact value of cos

Sketch the graph of the function , over the interval .

Use the unit circle to find all the exact values of θ that make sinθ = in the interval

State the amplitude, period, and phase shift of the function. y = -2 cos (13 x - 14) y = Amplitude = ________ Period = __________ Phase Shift = _________

If a sound wave is represented by y = 0.009 cos 880 T, what is the frequency?

Use the unit circle to find all the exact values of $\theta$ that make csc $\theta$ = In the interval

Sketch the graph of the function , .

Sketch the graph of the function , over the interval .

Match the graph of the function to its equation.

Sketch the graph of the function

Sketch the graph of the function , over the interval .

Match the graph of the sine function to the equation.

Select the answer that cannot be the value of sec

When an airplane flies faster than the speed of sound, the sound waves that are formed take on a cone shape, and where the cone hits the ground, a sonic boom is heard. If Is the angle of the vertex of the cone, then Sin Where V is the speed of the plane and M is the mach number, then what is the mach number if the plane is flying at 924 m/sec.? Mach number is __________ .

Graph the function y = , .

Find the exact value of tan 210° using the unit circle. Rationalize the denominator, if necessary.

Match the graph of the sine function to the equation.

State the domain and range of the function. y = Domain = ___________ Range = _____________

Graph the function y = over one period.

Use the information below to find the exact value of the definite integral.