Exercise
$3\sin^2x-\sin x-2=0$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 3sin(x)^2-sin(x)+-2=0. We can try to factor the expression 3\sin\left(x\right)^2-\sin\left(x\right)-2 by applying the following substitution. Substituting in the polynomial, the expression results in. Factor the trinomial 3u^2-u-2 of the form ax^2+bx+c, first, make the product of 3 and -2. Now, find two numbers that multiplied give us -6 and add up to -1.
Solve the trigonometric equation 3sin(x)^2-sin(x)+-2=0
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n\:,\:\:n\in\Z$