Solve sin30/cos10

$$\frac { \sin 30 } { \cos 10 }$$

Evaluate

$$\frac{31250000000000}{61550484563263}\approx 0.507713306$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{\sin(30)}{0.984807753012208}$$

Get the value of \sin(30) from trigonometric values table.

$$\frac{\frac{1}{2}}{0.984807753012208}$$

Express \frac{\frac{1}{2}}{0.984807753012208} as a single fraction.

$$\frac{1}{2\times 0.984807753012208}$$

Multiply 2 and 0.984807753012208 to get 1.969615506024416.

$$\frac{1}{1.969615506024416}$$

Expand \frac{1}{1.969615506024416} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{1000000000000000}{1969615506024416}$$

Reduce the fraction \frac{1000000000000000}{1969615506024416} to lowest terms by extracting and canceling out 32.

$$\frac{31250000000000}{61550484563263}$$