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If x = tan^(-1)(1), what is the value of x?
If x = tan^(-1)(1), what is the value of x?
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Practice Questions
1 question
Q1
If x = tan^(-1)(1), what is the value of x?
π/4
π/3
π/6
0
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tan^(-1)(1) = π/4, since tan(π/4) = 1.
Questions & Step-by-step Solutions
1 item
Q
Q: If x = tan^(-1)(1), what is the value of x?
Solution:
tan^(-1)(1) = π/4, since tan(π/4) = 1.
Steps: 4
Show Steps
Step 1: Understand that tan^(-1)(1) means we are looking for an angle whose tangent is 1.
Step 2: Recall that the tangent function (tan) gives the ratio of the opposite side to the adjacent side in a right triangle.
Step 3: Remember that tan(π/4) equals 1. This means that at an angle of π/4 radians (or 45 degrees), the tangent value is 1.
Step 4: Therefore, since tan^(-1)(1) asks for the angle whose tangent is 1, we conclude that x = π/4.
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