Question

[Cos 60° + sin 60°]÷[Cos 60°- sin 60°]=?​

Answer 1

Answer:

13.977

Step-by-step explanation:

(cos60+sin60)/(cos60-sin60)

(1/2+√3/2)/(1/2-√3/2)

(1+√3/2)/(1-√3/2)

3.732/0.261

13.977

Answer 2

$\frac{cos60+sin60}{cos60-sin60}$

By putting values :-

= $\frac{1/2 + \sqrt{3}/2}{1/2-\sqrt{3}/2}$

=$\frac{1+\sqrt{3}}{1-\sqrt{3}}$

By rationalising denominator :-

=$\frac{(1+\sqrt{3})(1+\sqrt{3})}{(1-\sqrt{3})(1+\sqrt{3})}$

=$\frac{4+2\sqrt{3}}{-2}$

= -(2 + $\sqrt{3}$)