Evaluate the expression: tan^(-1)(1) + tan^(-1)(1) + tan^(-1)(0).
Practice Questions
1 question
Q1
Evaluate the expression: tan^(-1)(1) + tan^(-1)(1) + tan^(-1)(0).
π/2
π
0
π/4
tan^(-1)(1) = π/4, so the expression becomes π/4 + π/4 + 0 = π/2.
Questions & Step-by-step Solutions
1 item
Q
Q: Evaluate the expression: tan^(-1)(1) + tan^(-1)(1) + tan^(-1)(0).
Solution: tan^(-1)(1) = π/4, so the expression becomes π/4 + π/4 + 0 = π/2.
Steps: 6
Step 1: Understand the notation tan^(-1)(x). This represents the inverse tangent function, also known as arctan. It gives the angle whose tangent is x.
Step 2: Calculate tan^(-1)(1). The angle whose tangent is 1 is π/4 (or 45 degrees).
Step 3: Calculate tan^(-1)(0). The angle whose tangent is 0 is 0 (or 0 degrees).
Step 4: Substitute the values into the expression: tan^(-1)(1) + tan^(-1)(1) + tan^(-1)(0) becomes π/4 + π/4 + 0.
