Q1 Evaluate the expressionPlease Show Your Work A arcsin1 B

Q#1

Evaluate the expression.(Please Show Your Work)

A.

arcsin(1)

B.

arccos(3)

C.

arctan(3)

D.

cot(arcsin(3/4))

E.

arcsec(2)

F.

arccsc(2/3)

Solution

1.
arcsin(1)
arcsin(sin(3pi/2))
=3pi/2

2.
arccos(3)
maximum value of cos is 1 so this is not possible.

3.
arctan(3)
arctan(tan(-pi/3))=-pi/3

4.
cot(arcsin(3/4))
let (arcsin(3/4)=x
sinx=-3/4
cosx=± 7/4
cot(x)=± 7/3