How do you find the angle of a right triangle using inverse trigonometric functions given the lengths of two sides?

Answer 1

Tammy Hernandez

To find an angle in a right triangle using inverse trigonometric functions, use the ratios of the side lengths. For angle θ, if you know the opposite side (a) and the adjacent side (b), use θ = arctan(a/b). If you know the hypotenuse (c) and the opposite side (a), use θ = arcsin(a/c). For the hypotenuse (c) and the adjacent side (b), use θ = arccos(b/c).