Solve sin60^circ/sin105^circ

$$\frac { \sin 60 ^ { \circ } } { \sin 105 ^ { \circ } }$$

Evaluate

$$\frac{5000000000000000\sqrt{3}}{9659258262890683}\approx 0.896575472$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{\sin(60)}{0.9659258262890683}$$

Get the value of \sin(60) from trigonometric values table.

$$\frac{\frac{\sqrt{3}}{2}}{0.9659258262890683}$$

Express \frac{\frac{\sqrt{3}}{2}}{0.9659258262890683} as a single fraction.

$$\frac{\sqrt{3}}{2\times 0.9659258262890683}$$

Multiply 2 and 0.9659258262890683 to get 1.9318516525781366.

$$\frac{\sqrt{3}}{1.9318516525781366}$$