Exercise
$3\cot\left(x\right)^2-2\cot\left(x\right)-1=0$
Step-by-step Solution
Learn how to solve operations with infinity problems step by step online. Solve the trigonometric equation 3cot(x)^2-2cot(x)+-1=0. We can try to factor the expression 3\cot\left(x\right)^2-2\cot\left(x\right)-1 by applying the following substitution. Substituting in the polynomial, the expression results in. Factor the trinomial 3u^2-2u-1 of the form ax^2+bx+c, first, make the product of 3 and -1. Now, find two numbers that multiplied give us -3 and add up to -2.
Solve the trigonometric equation 3cot(x)^2-2cot(x)+-1=0
Final answer to the exercise
$x=\frac{1}{4}\pi+2\pi n,\:x=\frac{5}{4}\pi+2\pi n\:,\:\:n\in\Z$