Inverse Trig Functions
Problem: Find the value of Ɵ in radians considering the principal inverse function:
Ɵ = arctan(1).
Solution The inverse function arctan(x)= tan-1(x)and arctan can be read as
Step 1: “the angle whose tangent is”.
Solution According to question it means the angle whose tan is 1.
Step 2: tanƟ = 1.
Solution We know that tan(π/4) = 1. Ɵ =(π/4)or 45°
Solution Answer: Ɵ =(π/4)or 45°
Try two practice problems: