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 .
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