#### Answer

1) The equation is linear in form.
2) There is only one trigonometric function in the equation.
3) Therefore, we solve the equation normally.

#### Work Step by Step

$$2\cot x+1=-1$$
1) Decide whether the equation is linear or quadratic in form
Here we see that $\cot x$ is in first degree, so the equation is linear in form.
2) Count the number of trigonometric functions in the equation
Only $\cot x$ is present, so the equation has only one trigonometric function.
3) Since the equation is linear in form and has only one trigonometric function, we solve the equation normally