1) а) tg pi/3 = √3
б) ctg 3pi/4 = ctg (pi - pi/4) = ctg (-pi/4) = -1
в) tg (-5pi/6) = tg (pi - 5pi/6) = tg pi/6 = √3/3
г) ctg pi/2 = 0
д) (sin pi/3 - 2*cos pi/2 + tg 11pi/6)*tg (-pi/4) = (√3/2-2*0+tg (2pi-pi/6))*(-1)
= (√3/2 - tg (pi/6))*(-1) = -(√3/2 - √3/3) = -(√3*3/6 - √3*2/6) = -√3/6
2) sin(-5pi/9)*cos(7pi/4)*tg(5pi/7) = sin(pi-5pi/9)*cos(2pi-pi/4)*tg(pi-2pi/7)
= sin(4pi/9)*cos(-pi/4)*tg(-2pi/7) = (+)*(+)*(-) = (-)
1) а) tg pi/3 = √3
б) ctg 3pi/4 = ctg (pi - pi/4) = ctg (-pi/4) = -1
в) tg (-5pi/6) = tg (pi - 5pi/6) = tg pi/6 = √3/3
г) ctg pi/2 = 0
д) (sin pi/3 - 2*cos pi/2 + tg 11pi/6)*tg (-pi/4) = (√3/2-2*0+tg (2pi-pi/6))*(-1)
= (√3/2 - tg (pi/6))*(-1) = -(√3/2 - √3/3) = -(√3*3/6 - √3*2/6) = -√3/6
2) sin(-5pi/9)*cos(7pi/4)*tg(5pi/7) = sin(pi-5pi/9)*cos(2pi-pi/4)*tg(pi-2pi/7)
= sin(4pi/9)*cos(-pi/4)*tg(-2pi/7) = (+)*(+)*(-) = (-)