Question

Tg 210 - 2 tg 300 + 3 tg 330

Answer 1

To calculate the value of the expression:

Tg(210°) - 2 * Tg(300°) + 3 * Tg(330°)

First, let's find the tangent values of the given angles:

Tg(210°) = √3 Tg(300°) = -√3 Tg(330°) = -√3

Now, substitute these values into the expression:

√3 - 2 * (-√3) + 3 * (-√3)

Now, calculate the products and sum:

√3 + 2√3 - 3√3

Now, combine like terms:

(√3 + 2√3 - 3√3) = 0

So, the value of the expression is 0.