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Byju's Answer
Standard XII
Mathematics
Basic Inverse Trigonometric Functions
Find the prin...
Question
Find the principal value of
tan
−
1
(
−
1
)
.
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Solution
Let
tan
−
1
(
−
1
)
=
y
.
Then,
tan
y
=
−
1
=
−
tan
(
π
4
)
=
tan
(
−
π
4
)
.
We know that the range of the principal value of
tan
−
1
x
is
(
−
π
2
,
π
2
)
and
tan
(
−
π
4
)
=
−
1
.
Therefore, the principal value of
tan
−
1
(
−
1
)
x
is
−
π
4
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Basic Inverse Trigonometric Functions
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