Two distinct, nonparallel lines are tangent to a circle. The measurement of the angle between the two lines is 54° (angle QVP).
Suppose the diameter of the circle is 2cm. What is the distance VP?
Suppose the distance VP is 3.93 cm. What is the diameter of the circle?
Find a formula for d, the diameter of the circle, in t

1. The graph of a tangent function is given. Select the equation for the following graph:
y = tan , y = tan( x +π ), y = tan x, y = tan
2. Graph two periods of the given tangent function.
y = 2 tan 2x
3. Graph two periods of the given cosecant or secant function.
y = 3 sec x
4.

Explain why tan(x + 450 degrees) cannot be simplified using the tangent sum
formulas but can be simplified by using the sine and cosine formulas. (Please show
all work).

1. Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. The diameter of the wheels of one car is 15 inches. The diameter of the wheels of the other car is 16 inches. If the tires are equally durable and differ only by diameter, which car will probably need new tires first? Why?
2

Solve the equation for solutions in the interval [0, 360).
tan 4x = 0
Which is the correct answer?
x = 33, 57, 147, 237, 327
x = 0, 90, 180, 270
x = 0, 45, 90, 135, 180, 225, 270
x = 0, 45, 90, 135, 180, 225, 270, 315

If you would please give me each step to solve these problems so I can get a better understanding how to solve these types of problems would be very helpful. Thanks.
Graph each expression and use the graph to conjecture an identity. Then verify your conjecture algebraically.
1. sec x - sin x tan x
Verify that each equat

A guy wire (a type of support used for example, on radio antennas) is attached to the top of a 50 foot pole and stretched to a point that is d feet from the bottom of the pole. Express the angle of inclination as a function of d.