Evaluate the following expressions with exact answers If an

Evaluate the following expressions with exact answers. If an expression is undefined, state that this is so. Cos 3pi/4 tan pi/2 cot (-5 pi/3) csc 7pi/2 csc 2pi sec 5pi/4 tan pi/3 cot(-pi/6) sin 11pi/2

Solution

a)cos(3pi/4)=-1/2

b)tan(pi/2)= undefined

c)cot(-5pi/3)=cot(pi/3) =1/3

d)csc(7pi/2)=csc(pi/2)=1

e)csc2pi= undefined

f)sec(5pi/4) =-2

g)tan(pi/3) =3

h)cot(-pi/6)=-3

i)sin(11pi/2)=sin(3pi/2)=-1