Arctangent
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.

Example of Arctangent

• tan^-1 1 = 45° or arctangent (1) = 45°. This means that the angle 45° has tangent equal to 1.

Solved Example on Arctangent

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 = .

Step 5: So, sec[arctan] = .

Related Terms for Arctangent

• Tangent
• Inverse Function

Additional Links for Arctangent

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• Tangent
• Function
• Inverse function