$$\sin^2(x)+\cos^2(x)=1$$
$$\cos(x)=\sqrt{1-\sin^2(x)}$$
$$\cos(x)=\sqrt{1-(0.76)^2}$$
$${\sqrt{{\mathtt{1}}{\mathtt{\,-\,}}{\left({\mathtt{0.76}}\right)}^{{\mathtt{2}}}}} = {\mathtt{0.649\: \!923\: \!072\: \!370\: \!876\: \!8}}$$
$$\cos(x) \approx 0.65$$
.