а) sin 225 градусов = sin 225−180225 - 180225−180 = sin 45 = √2/2 б) cos −3П/4-3П/4−3П/4 = cos 3П/43П/43П/4 = -√2/2 в) sin −П-П−П = sin −180-180−180 = sin −180+360-180 + 360−180+360 = sin 180 = 0 г) cos −П/3-П/3−П/3 = cos −60-60−60 = cos 606060 = 1/2 д) sin −П/2-П/2−П/2 = sin −90-90−90 = sin −90+360-90 + 360−90+360 = sin 270 = -1 е) cos 3П/2 = cos 270270270 = 0 ж) sin 11П/2 = sin 11П/2−6П11П/2 - 6П11П/2−6П = sin 5П/25П/25П/2 = -1 з) cos −13П/2-13П/2−13П/2 = cos −13П/2+6П-13П/2 + 6П−13П/2+6П = cos −П/2-П/2−П/2 = 0 и) sin 7П/3 = sin 7П/3−6П7П/3 - 6П7П/3−6П = sin П/3П/3П/3 = √3/2 г) cos −13П/6-13П/6−13П/6 = cos −13П/6+2П-13П/6 + 2П−13П/6+2П = cos 11П/611П/611П/6 = √3/2
а) sin 225 градусов = sin 225−180225 - 180225−180 = sin 45 = √2/2
б) cos −3П/4-3П/4−3П/4 = cos 3П/43П/43П/4 = -√2/2
в) sin −П-П−П = sin −180-180−180 = sin −180+360-180 + 360−180+360 = sin 180 = 0
г) cos −П/3-П/3−П/3 = cos −60-60−60 = cos 606060 = 1/2
д) sin −П/2-П/2−П/2 = sin −90-90−90 = sin −90+360-90 + 360−90+360 = sin 270 = -1
е) cos 3П/2 = cos 270270270 = 0
ж) sin 11П/2 = sin 11П/2−6П11П/2 - 6П11П/2−6П = sin 5П/25П/25П/2 = -1
з) cos −13П/2-13П/2−13П/2 = cos −13П/2+6П-13П/2 + 6П−13П/2+6П = cos −П/2-П/2−П/2 = 0
и) sin 7П/3 = sin 7П/3−6П7П/3 - 6П7П/3−6П = sin П/3П/3П/3 = √3/2
г) cos −13П/6-13П/6−13П/6 = cos −13П/6+2П-13П/6 + 2П−13П/6+2П = cos 11П/611П/611П/6 = √3/2