The first option is classic, using paper, protractor, and pencil (or pen).By definition the sine of an angle is the ratio of the opposite leg to the hypotenuse of a right triangle. That is, to calculate the value you need with the help of a protractor to construct a right triangle one of whose angles is equal to the sine of which you are interested in. Then measure the length of the hypotenuse and opposite side and divide the second into first with the desired degree of accuracy.
The second option is the school. From school we all remember the tables Bradis" containing thousands of values of trigonometric functions from different angles. You can look for as a paper edition and its electronic equivalent in pdf format - they are in the network. Finding a table to find the value of sine of the desired angle is not difficult.
The third option is optimal. If you have access to a computer, you can use a standard calculator Windows. It should be switched to advanced mode. To do this, under "View" menu, select "Engineering." View of the calculator will change - it will, in particular, the buttons to compute trigonometric functions.Now enter the value of angle, sine of which you want to calculate. You can do it from the keyboard and clicking the mouse cursor on the keys of the calculator. And you can just copy and paste the value (CTRL + C and CTRL + V). Then select a unit of measure, which must be calculated the answer for trigonometric functions it can be radians, degrees or happy. This is done by selecting one of three values switch located below the input field calculated value. Now by pressing the button labeled "sin", will get an answer to your question.
The fourth option is the most modern. In the era of the Internet in the network there are resources that offer you to deal with almost every encountered in life the problem. Online calculators trigonometric functions with user friendly interface, more advanced functionality is not difficult. The best of them suggest to calculate not only the values of the individual functions, but rather complicated expressions of several functions.