if f(x)=3tan(x)+2 and, find f(ð/3)

if f(x)=3tan(x)+2 and, find f(π/3)

f(π/3) = 3*sqrt(3) + 2

thank you very much for all ur help

thank you soo much for all ur help

To find f(π/3), we need to substitute π/3 into the function f(x) and compute the result.

Given that f(x) = 3tan(x) + 2, we replace x with π/3:

f(π/3) = 3tan(π/3) + 2

First, let's find the value of tan(π/3):

In a unit circle, the tangent of an angle is equal to the ratio of the length of the side opposite the angle to the length of the adjacent side.
For the angle π/3, let's consider a right triangle with one side of length 1 and another side of length √3, with the hypotenuse measuring 2.

By definition, tan(π/3) = opposite/adjacent = √3/1 = √3.

Now, substitute the value of tan(π/3) into the function:

f(π/3) = 3(√3) + 2

Finally, calculate the value:

f(π/3) = 3√3 + 2

So, f(π/3) is equal to 3√3 + 2.