What is the value of tan (-2pi/3)? the correct answer is sqrt 3 but how do i get that? someone explain

Step-by-step explanation:

First of all let's define the tangent function:

Now, let's define the standard angles, standard angles are those that have values that appear very often in everyday life. These angles are 30°=π/6, 45°=π/4, and 60°=π/3, and the angles 0°, 90°=π/2, 120°= 2π/3, 180°=π, 270°=3π/2, and 360°=2π. The latter, although not defined as 'standard', are also very common. Here are the values:

Also you need to keep in mind that cosine function is an even function, and sine function is an odd function, that is:

Using these definitions you are able to solve the problem:

step-by-step explanation:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w