Arctangent
Related Words
Definition of Arctangent
Arctangent is the inverse function of tangent. It is also written as arctan or tan^{1}. If y = tan x, then x = arctan y.
Examples of Arctangent

tan^{1} 1 = 45^{0} or arctangent (1) = 45^{0}. This means that the angle 45^{0} has tangent equal to 1.
Video Examples: Arctan Inverse Trig Function
Solved Example on Arctangent
Ques: Find the value of sec [arctan ].
Choices:
A.B.
C.
D.
Correct Answer: B
Solution:

Step 1: Let B = arctan . Then tan B = .
Step 2: So, sec [arctan ] = sec [arctan(tan B)].
Step 3: = sec B
Step 4: From the figure, we observe that sec B = .
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