Cot (2x-100°) = tan (-60°)

how do i make this into an equation that can be solved to find x?

what you do to one side you do to the other is the golden rule. you want to add, subtract, multiply, and divide on either side of the = to get x by itself on one side and on the other side ... your answer.

x = 5 ° + π/6 - (π n) / 2 for n element Z

Step-by-step explanation:

Solve for x:

tan (10 ° - 2 x) = - sqrt (3)

Take the inverse tangent of both sides:

10 ° - 2 x = π n - π/3 for n element Z

Subtract 10 ° from both sides:

-2 x = π n + (-10 ° - π/3) for n element Z

Divide both sides by - 2:

Answer: x = 5 ° + π/6 - (π n) / 2 for n element Z