0.5299
1) The sine of 32º can be found using the following
sin(x +y) = sinx*cosy + seny*cos(x)
2) Since 32º is the same as 30º + 2º
[tex]\begin{gathered} \sin \mleft(30+2\mright)=\sin 30\cdot\cos (2)\text{ +}\sin (2)\cdot\cos (30) \\ \sin (30+2)\text{ = }\frac{1}{2}\cdot0.999+0.034\cdot\frac{\sqrt[]{3}}{2} \\ \sin (32)=\text{ 0.5}\cdot0.999+0.034\cdot0.866 \\ \sin (32)\approx0.5299 \end{gathered}[/tex]
3) Hence, the sine of (32) is approximately 0.5299
