How do you calculate arctan(−1)?
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Answer:
arctan
(
1
)
=
π
4
(
=
45
∘
)
Explanation:
arctan
is by definition a value in the range
(
−
π
2
,
+
π
2
)
If
arctan
(
1
)
=
θ
then
tan
(
θ
)
=
1
This means that a standard trigonometric triangle will have opposite and adjacent sides of equal length.
(since by definition
tan
=
opposite
adjacent
)
⇒
θ
=
π
4
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