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What is the value of tan^(-1)(1) + tan^(-1)(1)?
What is the value of tan^(-1)(1) + tan^(-1)(1)?
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Practice Questions
1 question
Q1
What is the value of tan^(-1)(1) + tan^(-1)(1)?
π/2
π
0
1
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tan^(-1)(1) = π/4, thus tan^(-1)(1) + tan^(-1)(1) = π/4 + π/4 = π/2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of tan^(-1)(1) + tan^(-1)(1)?
Solution:
tan^(-1)(1) = π/4, thus tan^(-1)(1) + tan^(-1)(1) = π/4 + π/4 = π/2.
Steps: 5
Show Steps
Step 1: Understand that tan^(-1)(1) means the angle whose tangent is 1.
Step 2: Recall that the angle whose tangent is 1 is π/4 (or 45 degrees).
Step 3: Since we have tan^(-1)(1) + tan^(-1)(1), we can replace each tan^(-1)(1) with π/4.
Step 4: Now, we add π/4 + π/4.
Step 5: Adding π/4 + π/4 gives us 2 * (π/4) = π/2.
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