Another handy way to work out the table of trig values is to use your hand as an aid to recall as shown in the image below.
For sin values count the number of fingers to the left of the one representing the choosen angle. Get its square root and divide by 2. For cosine values do the same with the number of fingers to the left of the choosen one.
For sin 60, you get √3 / 2. For cos 60 you get √1 / 2 which is 1/2.