Math 433
Palekar
H#
Inverse Circular Functions
Name: _______________
Date: ________________
1) Determine the equation of each graph.
a) ________________
b) ________________
c) ________________
A  _____ f  _____ P  _____
2) Evaluate the given expression writing your answer in radian measure.
You may use a calculator to CHECK your answer.
a)
Sin1  12 
d) Arc cos
 
3
2
1
g) Tan  1
b) Arc sin
 
2
2
1
c) Sin   12 
1
e) Cos  0 
1
f) Cos   12 
h) Arctan  0 
1
i) Sin  7 
3) Find the exact value without a calculator. You may use a calculator to CHECK your answer.
a) Cos
1
 cos 6 

b) sin  Cos 1



2

2 
c) sin Tan 1 3

4) State the domain and range of each of the following:
a) y  Sin 1 x
b) y  Cos 1 x
D: ________________
R: ________________
c) Tan1 x
D: ________________
R: ________________
5 a) State the equation of the
inverse of f ( x)  log 1 x . ____________
2
b) Graph f ( x) and its inverse on the grid below.
c) Then state the domain and range of f ( x) .
D: ________________
R: ________________
6) Solve the logarithmic equation analytically.
*Round to 3 decimal places.
a)
b)
og 2 x  og 2 ( x  2)  og 2 ( x  6)


og (4 x)  og 12  x  2