simplify the expression. \n\\frac{1 - \\cos 52.74^{\\circ}}{\\sin 52.74^{\\circ}} \n\\frac{1 - \\cos…

simplify the expression. \n\\frac{1 - \\cos 52.74^{\\circ}}{\\sin 52.74^{\\circ}} \n\\frac{1 - \\cos 52.74^{\\circ}}{\\sin 52.74^{\\circ}} = \\square^{\\circ} \n(simplify your answer. use integers or decimals for any numbers in the expression

simplify the expression. \n\\frac{1 - \\cos 52.74^{\\circ}}{\\sin 52.74^{\\circ}} \n\\frac{1 - \\cos 52.74^{\\circ}}{\\sin 52.74^{\\circ}} = \\square^{\\circ} \n(simplify your answer. use integers or decimals for any numbers in the expression

Answer

Explanation:

Step1: Use the half - angle formula

We know that (\tan\frac{\alpha}{2}=\frac{1 - \cos\alpha}{\sin\alpha}). Let (\alpha = 52.74^{\circ}), then the given expression (\frac{1-\cos52.74^{\circ}}{\sin52.74^{\circ}}) is in the form of the half - angle formula for tangent.

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

Substitute (\alpha = 52.74^{\circ}) into (\frac{\alpha}{2}). We get (\frac{52.74^{\circ}}{2}=26.37^{\circ})

Answer:

(26.37)