Exercise
$4sen^2a-8sena+3=0$
Step-by-step Solution
Learn how to solve equations with square roots problems step by step online. Solve the trigonometric equation 4sin(a)^2-8sin(a)+3=0. We can try to factor the expression 4\sin\left(a\right)^2-8\sin\left(a\right)+3 by applying the following substitution. Substituting in the polynomial, the expression results in. Factor the trinomial 4u^2-8u+3 of the form ax^2+bx+c, first, make the product of 4 and 3. Now, find two numbers that multiplied give us 12 and add up to -8.
Solve the trigonometric equation 4sin(a)^2-8sin(a)+3=0
Final answer to the exercise
$a=\frac{1}{6}\pi+2\pi n,\:a=\frac{5}{6}\pi+2\pi n\:,\:\:n\in\Z$