Question

Cot(2x-100°) = tan(-60°)
how do i make this into an equation that can be solved to find x?

Answer 1

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.

Answer 2

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

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