30 points 2 Find the exact value for each of the following e

(30 points) 2 Find the exact value for each of the following expressions a sin b) arcco -a d) cos arcsin c) cot(arctan 3 13 tan 63 tan 33 e) sin (22.5 1 tan 63 tan33

Solution

a. Sin^-1-1

sin^-1(sin(-pi/2)) =-pi/2

b. Cos^-1(sqrt3/2)

cos^-1(cos pi/6) =pi/6

c. Cot(arc tan 3) =1/3

d. Cos(arc sin 5/13)

Arc sin 5/13=t

Sin t=5/13

Cos t=sqrt(1-sin^2t)=sqrt(144/169)=12/13

Cos(arcsin 5/13)=12/13