Qadi Zada computed sin 1 [degrees] to an accuracy of 10-12 (if expressed in decimals), as did al-Kashi. J. J O’Connor and E.F Robertson: Arabic Mathematics, a forgotten brilliance; muslim heritage wiki scientificlib sine of one degree: First, using the formula sin(a/2)=sqrt((1-cosa)/2) and the already known value of the cosine of 36 degrees, the value of sin18 and therefore cos18 can be calculated. Repeating the same procedure, sin9 can be found. Then, using the formula sin(a-b)=sin(a) cos(b)-sin(b) cos(a) for a=45, b=18, the value of sin27 is obtained. Using the same formula for a=30, b=27, we arrive at the value for sin3. At this point, the formula sin(3)=3sin(1)-4(sin(1))^3 can yield the value for x=sin1, provided we can solve the equation 4x^3-3x+q=0, where q=sin3. The methods of solving cubic equations however, such as the one considered here, were not available to 15th century mathematicians. The Samarkand scientists then proceeded...