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What is the value of tan^(-1)(1)?
What is the value of tan^(-1)(1)?
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Practice Questions
1 question
Q1
What is the value of tan^(-1)(1)?
π/4
π/3
π/2
0
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Copy
tan^(-1)(1) = π/4, since tan(π/4) = 1.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of tan^(-1)(1)?
Solution:
tan^(-1)(1) = π/4, since tan(π/4) = 1.
Steps: 5
Show Steps
Step 1: Understand what tan^(-1)(1) means. It is asking for the angle whose tangent is 1.
Step 2: Recall the definition of tangent. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.
Step 3: Identify the angle where the tangent equals 1. This occurs when the opposite and adjacent sides are equal.
Step 4: Recognize that the angle π/4 (or 45 degrees) has equal opposite and adjacent sides, making tan(π/4) = 1.
Step 5: Conclude that tan^(-1)(1) = π/4 because it is the angle whose tangent is 1.
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