(sin 2820 + cos 855) / ctg 1305

Question

(sin 2820 + cos 855) / ctg 1305

Answer 1

Sin2820 = sin (360 × 8 -60 ) = sin 60 = корень3/2
cos855 = cos (270 × 3 + 45) = cos 45 = корень2/2
ctg1305 = ctg (270 × 5 - 45) = ctg 45 = - 1
(корень3/2 + корень2/2)/ -1 =( 2корень3/2 + 2 корень2/2 ÷ 4) / - 1 = корень36/ - 1 = - 6