1 Find the following exact values If the value does not exis

1. Find the following exact values. If the value does not exist write DNE (F) = (b) cot ( (c) tan (- )- (a) sec (d) arccos (cos (e) cos (arccos (r)) = (o) aresin (ot ()) 5. Use the fornula sro in order to correctly determine the radius of the circke which has an atclength of st given by an angle of 30 6. Use the formnila A_0 in order to determine the area of a piece of pie which iscut out of a circle of radius v8 at an angle of 60° , Below is the graph of y = tan(2x) provided for you. Find the locations of the asymptotes. Label the x-values of all four asymptotes on the graph below.

Solution

4) a) sec(7/2) = sec(2 + 3/2) = sec(3/2) = 1/cos(3/2) = 1/0 = Not defined

b) cot(-17/4) = - cot(17/4) = -cot(4 + /4) = -cot(/4) = -1

c) tan(-5/3) = -tan(5/3) = -tan(2 – /3) = tan(/3) = sqrt(3)

d) arccos(cos(/16)) = /16

e) cos(arccos()) =

f) arcsin(cot(-/4)) = arcsin(-1) = - /2

5)   s = 6 ft

        = 30 degree = /6 radian

        s = r* ======> r = s/ = 6/(/6) = 36/ = 11.5 ft