60 degrees does not equal the square root of 3. The sine of 60 degrees is . Draw yourself a 30-60-90 right triangle with a hypotenuse that measures 1 unit. Then the short leg is one-half of the hypotenuse and using the Pythagorean Theorem you can calculate for yourself that the long leg is . Since and you chose the hypotenuse to have a measure of 1 unit, .
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it