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 = 45⁰ or arctangent (1) = 45⁰. This means that the angle 45⁰ 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 =  . 
Step 5: So, sec[arctan ] = .

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