= tg(30) x cos(30) x sin(30) x tg(45) x tg(60)
Using the trigonometric identities:tg(30) = sin(30) / cos(30) = (1/2) / (sqrt(3)/2) = 1/sqrt(3)cos(30) = sqrt(3)/2sin(30) = 1/2tg(45) = 1tg(60) = sqrt(3)
Substitute these values into the equation:= (1/sqrt(3)) x sqrt(3)/2 x 1/2 x 1 x sqrt(3)= 1/2 x 1/2 x sqrt(3) x sqrt(3)= 1/4 x 3= 3/4
Therefore, tg(30) x cos(30) x sin(30) x tg(45) x tg(60) = 3/4.
= tg(30) x cos(30) x sin(30) x tg(45) x tg(60)
Using the trigonometric identities:
tg(30) = sin(30) / cos(30) = (1/2) / (sqrt(3)/2) = 1/sqrt(3)
cos(30) = sqrt(3)/2
sin(30) = 1/2
tg(45) = 1
tg(60) = sqrt(3)
Substitute these values into the equation:
= (1/sqrt(3)) x sqrt(3)/2 x 1/2 x 1 x sqrt(3)
= 1/2 x 1/2 x sqrt(3) x sqrt(3)
= 1/4 x 3
= 3/4
Therefore, tg(30) x cos(30) x sin(30) x tg(45) x tg(60) = 3/4.