To solve for x, we first need to isolate x on one side of the equation.
We have:ctg(x/4) = -1/√3
To isolate x, we need to take the arctangent (or inverse cotangent) on both sides of the equation:
arctan(ctg(x/4)) = arctan(-1/√3)
Since arctan(ctg(x/4)) = x/4, we get:
x/4 = arctan(-1/√3)
Now, we can multiply both sides by 4 to solve for x:
x = 4 * arctan(-1/√3)
Using a calculator, we find that:
x ≈ 5.81577 (rounded to 5 decimal places)
To solve for x, we first need to isolate x on one side of the equation.
We have:
ctg(x/4) = -1/√3
To isolate x, we need to take the arctangent (or inverse cotangent) on both sides of the equation:
arctan(ctg(x/4)) = arctan(-1/√3)
Since arctan(ctg(x/4)) = x/4, we get:
x/4 = arctan(-1/√3)
Now, we can multiply both sides by 4 to solve for x:
x = 4 * arctan(-1/√3)
Using a calculator, we find that:
x ≈ 5.81577 (rounded to 5 decimal places)