MATH 221 Worksheet on Trigonometry

1. Set your calculator to Radian Mode (Mode button, then angle ,select radians)

a) Graph the function .

b) There is one point at which f(x) is discontinuous. What is it? x = _____. Call this x value c.

c) What kind of discontinuity does f have there? (Look at the graph) ____________.

d) Compute f(x) for each of the following values and fill in the table below.

x	0.1	0.01	0.001	-0.1	-0.001	-0.001

e) Based on the above table what is ___________?

2. This exercise is similar to 1. except that the function has been changed.

a) Graph the function .

b) There is one point at which f(x) is discontinuous. What is it? x = _____. Call this x value c.

c) What kind of discontinuity does f have there? (Look at the graph) ____________.

d) Compute f(x) for each of the following values and fill in the table below.

x	0.1	0.01	0.001	-0.1	-0.001	-0.001

e) Based on the above table what is ___________?

3. Change each of the following angles which are expressed in degrees to radian measure.

degrees	15	75	105	165	315	435	20	80
radians

4. Using the formulas for the sin and cos of the sum and difference of two angles found on page A 29 and the exact values for these functions found on A 27 find the exact values of each of the following: (Hint: 15° = 45° - 30°.)

a) sin (15°) = __________ b) cos(15°) = _________ c) tan(15°) = __________

d) csc(15°) = __________ e) sin(105°) = _________ f) cot(165°) = _________

5. Graph sin(2x) and using trace estimate the slope of the tangent line at x = 0. ________

Graph sin(3x) and using trace estimate the slope of the tangent line at x = 0. ________

Guess the slope of the tangent line to sin(mx) at x = 0. ___________