Solve 2/sin(0.5^circ)=4/sin(90^circ)

$$\frac{ 2 }{ \sin ( 0.5 ^ { \circ } ) } = \frac{ 4 }{ \sin ( 90 ^ { \circ } ) }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2}{0.008726535498373935} = \frac{4}{\sin(90)}$$

Expand \frac{2}{0.008726535498373935} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{2000000000000000000}{8726535498373935}=\frac{4}{\sin(90)}$$

Reduce the fraction \frac{2000000000000000000}{8726535498373935} to lowest terms by extracting and canceling out 5.

$$\frac{400000000000000000}{1745307099674787}=\frac{4}{\sin(90)}$$

Get the value of \sin(90) from trigonometric values table.

$$\frac{400000000000000000}{1745307099674787}=\frac{4}{1}$$

Anything divided by one gives itself.

$$\frac{400000000000000000}{1745307099674787}=4$$

Convert 4 to fraction \frac{6981228398699148}{1745307099674787}.

$$\frac{400000000000000000}{1745307099674787}=\frac{6981228398699148}{1745307099674787}$$

Compare \frac{400000000000000000}{1745307099674787} and \frac{6981228398699148}{1745307099674787}.

$$\text{false}$$