(1) Find the exact value of sin(57/3) using the following steps. (a) Find the reference angle for 57 /3. (In degrees it is between 0 and 90.) (b) Find the exact value for sine of the reference angle. (It is one of our special angles.) (c) Check which quadrant 57/3 is in and decide if sine is positive or negative there. (d) Then 57/3 equals part (b) with the sign from (c). (2) Find the exact value of cos(117/4) using a reference angle as in the last question. (3) If cos(t) = 3/4 and t is in quadrant 11, find sin(t). (Hint: Use the Pythagorean Identity.) (4) Compute the exact value of csc(m/4) (Hint: exact means 'not a decimal'. Your answer should have a square root but make sure it's not in the denominator.) (5) Use a reference angle to find the exact value of cot(77/6) as follows: (a) Draw the angle 77 /6 and note the quadrant. (b) The smallest angle the terminal side you have drawn with the z-axis is the refer- ence angle. Is it 7/6? (c) Find cot of the reference angle. (d) Adjust the sign if necessary depending on the quadrant. (6) Suppose cost = 1/3 and sint