а) t=0 sin(0) = 0 cos(0) = 1 tg(0) = sin(0)/cos(0) = 0/1 = 0
б) t=π/2 sin(π/2) = 1 cos(π/2) = 0 tg(π/2) - sin(π/2)/cos(π/2) = 1/0 (тангенс не существует)
в) t=-2/π sin(-2/π) = -sin(2/π) = -sin(0) = 0 cos(-2/π) = cos(2/π) = cos(0) = 1 tg(-2/π) = sin(-2/π)/cos(-2/π) = 0/1 = 0
г) t=-π/2 sin(-π/2) = -1 cos(-π/2) = 0 tg(-π/2) = sin(-π/2)/cos(-π/2) = -1/0 (тангенс не существует)
д) t=5π/6 sin(5π/6) = sin(π - π/6) = sin(π/6) = 0.5 cos(5π/6) = cos(π - π/6) = -cos(π/6) = -0.866 tg(5π/6) = sin(5π/6)/cos(5π/6) = 0.5/-0.866 ≈ -0.577
е) t=5π/4 sin(5π/4) = sin(π + π/4) = sin(π/4) = 0.707 cos(5π/4) = cos(π + π/4) = -cos(π/4) = -0.707 tg(5π/4) = sin(5π/4)/cos(5π/4) = 0.707/-0.707 = -1
а) t=0
sin(0) = 0
cos(0) = 1
tg(0) = sin(0)/cos(0) = 0/1 = 0
б) t=π/2
sin(π/2) = 1
cos(π/2) = 0
tg(π/2) - sin(π/2)/cos(π/2) = 1/0 (тангенс не существует)
в) t=-2/π
sin(-2/π) = -sin(2/π) = -sin(0) = 0
cos(-2/π) = cos(2/π) = cos(0) = 1
tg(-2/π) = sin(-2/π)/cos(-2/π) = 0/1 = 0
г) t=-π/2
sin(-π/2) = -1
cos(-π/2) = 0
tg(-π/2) = sin(-π/2)/cos(-π/2) = -1/0 (тангенс не существует)
д) t=5π/6
sin(5π/6) = sin(π - π/6) = sin(π/6) = 0.5
cos(5π/6) = cos(π - π/6) = -cos(π/6) = -0.866
tg(5π/6) = sin(5π/6)/cos(5π/6) = 0.5/-0.866 ≈ -0.577
е) t=5π/4
sin(5π/4) = sin(π + π/4) = sin(π/4) = 0.707
cos(5π/4) = cos(π + π/4) = -cos(π/4) = -0.707
tg(5π/4) = sin(5π/4)/cos(5π/4) = 0.707/-0.707 = -1