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Evaluate tan^(-1)(√3).
Practice Questions
Q1
Evaluate tan^(-1)(√3).
π/3
π/4
π/6
π/2
Questions & Step-by-Step Solutions
Evaluate tan^(-1)(√3).
Correct Answer: π/3
Steps
Concepts
Step 1: Understand that tan^(-1)(√3) means we are looking for an angle whose tangent is √3.
Step 2: Recall the basic values of the tangent function for common angles.
Step 3: Recognize that tan(π/3) equals √3.
Step 4: Conclude that since tan(π/3) = √3, then tan^(-1)(√3) = π/3.
Inverse Trigonometric Functions
– Understanding how to evaluate the inverse tangent function and its relationship with the tangent function.
Special Angles
– Knowledge of special angles in trigonometry, particularly the angles where the tangent values are well-known.
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