Question

Помогите, срочно! Даю 50 баллов!

Answer 1

Ответ:

$1-frac{sqrt{3}}{2}$

Объяснение:

$sqrt{2} cos(-1755^circ+360^circ*5)-sqrt{3} sin(-930^circ+360^circ*3)+\ \ +frac{sqrt{3} }{3}tg(-600^circ+360^circ*2) +ctg(-1395^circ+360^circ*4)= \ \ sqrt{2} cos45^circ-sqrt{3} sin150^circ+frac{sqrt{3} }{3}tg120^circ +ctg45^circ=sqrt{2}*frac{sqrt{2}}{2} -sqrt{3}*frac{1}{2} + \ \ +frac{sqrt{3}}{3} *(-sqrt{3})+1=1-frac{sqrt{3}}{2} -1+1=1-frac{sqrt{3}}{2}$

Answer 2

$1) cos(-1775^{circ}) = cos(-8pi -315^{circ}) = cos(-315^{circ}) = cos(45^{circ}) = frac{sqrt{2}}{2}$

$2) sqrt{2} cdot frac{sqrt{2}}{2} = frac{2}{2} = 1$

$3) sin(-930^{circ}) = -sin(30^{circ}+5cdot180^{circ}) = -sin(-30^{circ}) = sin 30^{circ} = 0,5$

$4) sqrt{{3}} cdot sin30^{circ}} = frac{sqrt{3}}{2}$

$5) tg(-600^{circ}) = -sqrt{3}$

$6) frac{-sqrt{3}cdotsqrt{3}}{3} = -frac{3}{3} = -1$

$7) ctg (-1395^{circ}) = 1$

Ответ: $1 - frac{sqrt{3}}{2}} - 1 + 1 = 1 - frac{sqrt{3}}{2}}$