1. Inverse Trigonometric
4.7
Inverse Trigonometric
Functions
Definition of the Inverse Trig. Functions
1. arcsin x quadrants I and IV
2. arccos x quadrants I and II
3. arctan x quadrants I and IV

2. Find the values of : -1
I or IV 2 2
I or IV 1

3. I or II 1 1 1 -1

4. Use your calculator to approximate the value.
Calculator in radians.
arctan( )
arcsin( )
arccos( 2 )
error
Remark: the domain of the inverse functions
of cosine and sine are [-1,1].

5. Use an inverse trig.
function to write
as a function of x. x 5

6. Find the exact value. 1
tan[arctan(-5)] -5
What is the tan of
this triangle? -5
is coterminal to what
angle that is in the
domain of arcsin?

7. Find the exact value. 3 2 4 -3 5

8. Find sin(arccos 3x)
1 = (3x)2 + b2 1
? = 3x
sin(arccos 3x)
cot(arccos 3x)