Question

simplify the expression.
\frac{1 - \cos 58.72^{\circ}}{\sin 58.72^{\circ}}
\frac{1 - \cos 58.72^{\circ}}{\sin 58.72^{\circ}} = \square^{\circ}
(simplify your answer. use integers or decimals for any numbers in the ex

Explanation:

Step1: Use the trigonometric identity

We know the identity \(\frac{1 - \cos\alpha}{\sin\alpha}=\tan\frac{\alpha}{2}\). Here \(\alpha = 58.72^{\circ}\).

Step2: Calculate \(\frac{\alpha}{2}\)

Substitute \(\alpha = 58.72^{\circ}\) into \(\tan\frac{\alpha}{2}\), then \(\frac{\alpha}{2}=\frac{58.72^{\circ}}{2}\).

$$ \frac{58.72^{\circ}}{2}=29.36^{\circ} $$

Answer:

\(29.36\)