Algebra Question: Find the angle whose tangent is 0.5

Question

(A) 0.0087°

(B) 60°

(C) 45°

(D) 26.57°

(E) None of these

Answer 1

Let y=tan(x)

Given y= 0.5

Rewrite: 0.5=tan(x)

Take arctan of both sides

arctan(0.5) = arctan(tan(x))

arctan(0.5) = x

x= 26.5650512 degrees

We also know that 1= tan(45*)

so if we wanted half that or 1/2 = tan(45/2) we come to the same conclusion