Question

Which expression would provide the measure of angle n

tan (7/6)
tan (6/7)
tan^â1(7/6)
tan^â1(6/7)

Answer 1

tan ^(-1) (6/7)

See attached picture.

Explanation:

In a right triangle, tan(∅) = opposite / adjacent. The function tangent finds the side ratio for a specific angle. Here, the side opposite the Angle N is 6. The side adjacent to Angle N is 7. This means tan N = 6/7.

However, we want to find the angle using the side ratio (we already have the ratio). To find N, use the inverse function tan ^(-1). It becomes N = tan ^(-1) 6/7.