Answer
$$\frac{1-\cos59.74^\circ}{\sin59.74^\circ}=\cos29.87^\circ$$
Work Step by Step
$$\frac{1-\cos59.74^\circ}{\sin59.74^\circ}$$
From the half-angle identity for tangents:
$$\frac{1-\cos A}{\sin A}=\cos\frac{A}{2}$$
We can apply the identity to the given expression with $A=59.74^\circ$.
$$\frac{1-\cos59.74^\circ}{\sin59.74^\circ}=\cos\frac{59.74^\circ}{2}$$
$$\frac{1-\cos59.74^\circ}{\sin59.74^\circ}=\cos29.87^\circ$$
This is the single trigonometric function we need to find in this exercise.
