Cot (2x-100°) = tan (-60°)

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

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

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.