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Evaluate the expression: tan^(-1)(1) + tan^(-1)(1) = ?
Evaluate the expression: tan^(-1)(1) + tan^(-1)(1) = ?
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Practice Questions
1 question
Q1
Evaluate the expression: tan^(-1)(1) + tan^(-1)(1) = ?
π/2
π/4
π/3
π/6
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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: Evaluate the expression: 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 the expression tan^(-1)(1). This means we are looking for the angle whose tangent is 1.
Step 2: Recall that the tangent of π/4 (or 45 degrees) is 1. Therefore, tan^(-1)(1) = π/4.
Step 3: Now, we have tan^(-1)(1) + tan^(-1)(1). Since both are equal to π/4, we can write it as π/4 + π/4.
Step 4: Add the two angles together: π/4 + π/4 = 2 * (π/4) = π/2.
Step 5: The final answer is π/2.
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