Question

cos30+cos60+sin30*sin60​

Answer 1

The answer is given in the image.

Hope It Helps You.

Answer 2

$cos30+cos60+sin30*sin60\\=\sqrt{3}/2 +1/2+1/2*\sqrt{3} /2\\=(\sqrt{3} +1)/2+\sqrt{3}/4 \\=(2\sqrt{3} +2+\sqrt{3} )/4\\=(3\sqrt{3}+2)/4$