(Problems are excerpts from the source text book)

For the following problems, find the value without the use of a calculator. All inputs to the functions are in degrees.
1) sin(225)
2) cos(210)
3) tan(135)
4) sin(150)
5) sin(330)
6) cos(390)
7) cos(315)
8) tan(240)
9) cos(840)
10) sin(-450)
11) cos(-240)
12) tan(-225)

Do the following:
12) Suppose that the COS and TAN keys on your calculator are broken. You can use the SIN key to find that, for some angle T in the first quadrant, sin(T)=0.3. Determine the values of cos(T) and tan(T). What is the andle of T?
13) Suppose that, for a certain angle T in the first quadrant, tan(T)=1.2. Find the cosine and sine of T algebraicly.
14) Suppose that, for a certain angle T in the fourth quadrant, sin(T)=-0.7. Find the cosine and tangent of T algebraicly.
15) Janis trims her fingernails every Saturday morning. Sketch the graph of the length of her nails as a function of time. Can this process be modeled by a periodic function? If it is periodic, what is the period?
16) Harry gets a haircut on the first of every month. Sketch the graph of the length of his hair as a functino of time. Can this process be modeled by a periodic function? If it is periodic, what is the period?
17) Make an accurate graph of y=sin(T), for 0= 18) Convert each angle from degrees to radians:
    a) 15
    b) 75
    d) 120
    d) 150
    e) 225
    f) 315
    g) 270
    h) 240
    i) -135
    j) -210
19) Convert each angle from radians to degrees:
    a) 3 * pi / 4
    b) 4 * pi / 5
    d) 2 * pi / 3
    d) 1.5
    e) 2.5
    f) 3
    g) pi / 8
    h) 5 * pi / 3
    i) - 3 * pi / 2
    j) - 5 * pi / 3
20) With your calculator set in radians, graph the two functions:
    y = sin (x)
       and
    y = cos(x-(pi/2))
What do you observe? Explain what you observed.