To simplify the given expression, we can start by evaluating the trigonometric functions at π/6 and π/4:
sin(π/6) = 1/cos(π/6) = √3/ctg(π/4) = 1/tan(π/4) = tan(π/4) = 1
Now substitute the values back into the expression:
2sin(π/6) + 5ctg^2 (π/4) + tg(π/4) + 6cos(π/6= 2(1/2) + 5(1)^2 + 1 + 6(√3/2= 1 + 5 + 1 + 3√= 7 + 3√3
Therefore, the simplified expression is 7 + 3√3.
To simplify the given expression, we can start by evaluating the trigonometric functions at π/6 and π/4:
sin(π/6) = 1/
cos(π/6) = √3/
ctg(π/4) = 1/tan(π/4) =
tan(π/4) = 1
Now substitute the values back into the expression:
2sin(π/6) + 5ctg^2 (π/4) + tg(π/4) + 6cos(π/6
= 2(1/2) + 5(1)^2 + 1 + 6(√3/2
= 1 + 5 + 1 + 3√
= 7 + 3√3
Therefore, the simplified expression is 7 + 3√3.