To simplify the expression 4sin(π/6) + √3cos(π/6) - tg(π/4), we first need to find the values of sin(π/6), cos(π/6), and tg(π/4).
sin(π/6) = 1/2cos(π/6) = √3/2tg(π/4) = 1
Now, we substitute these values back into the expression:
4(1/2) + √3(√3/2) - 1= 2 + 3/2 - 1= 3/2 + 1= 2.5
Therefore, the simplified expression is 2.5.
To simplify the expression 4sin(π/6) + √3cos(π/6) - tg(π/4), we first need to find the values of sin(π/6), cos(π/6), and tg(π/4).
sin(π/6) = 1/2
cos(π/6) = √3/2
tg(π/4) = 1
Now, we substitute these values back into the expression:
4(1/2) + √3(√3/2) - 1
= 2 + 3/2 - 1
= 3/2 + 1
= 2.5
Therefore, the simplified expression is 2.5.