**Inverse Trigonometric Functions**

**Sol A** a)
(since
).

b) is undefined, since 5/3 is not in .

**Sol B** a)
(since
for any ).

b) , so since the tangent has period , and is in ; so .

**Sol 1** a)
, since and
.

b) , since and .

**Sol 2** a)
, since
and
.

b) , since and .

**Sol 3** a)
since and
.

b) since and .

**Sol 4** Let
, so From the right triangle
shown below,
; so
.

**Sol 5** Let
, so
. From the right
triangle shown below,
; so
.

**Sol 6** Let
, so
. Then
.

**Sol 7** Let
, so
.
Then
and
using the right triangle below,
so
.

**Sol 8** Since
,
where
; so
.

Return to the Problems for this
Topic.

Return to Precalculus Home Page.

Lawrence Marx 2002-07-12