Question

Given that 60°=√3/2 and cos60°=1/2. evaluate: 1+sin60°/1+cos60

Answer 1

Step-by-step explanation:

$\frac{1 + \sin(60) }{1 + \cos(60) } \\ \\ = \frac{1 + \frac{ \sqrt{3} }{2} }{1 + \frac{1}{2} } \\ \\ = \frac{ \frac{2 + \sqrt{3} }{2} }{ \frac{2 + 1}{2} } \\ \\ = \frac{2 + \sqrt{3} }{3} \times \frac{2}{2} \\ \\ = \frac{2 + \sqrt{3} }{3}$