Exercise
$\frac{1-2cos^2x+cos^4x}{sin^2x}$
Step-by-step Solution
Learn how to solve perfect square trinomial problems step by step online. Simplify the trigonometric expression (1-2cos(x)^2cos(x)^4)/(sin(x)^2). The trinomial 1-2\cos\left(x\right)^2+\cos\left(x\right)^4 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Apply the trigonometric identity: -1+\cos\left(\theta \right)^2=-\sin\left(\theta \right)^2.
Simplify the trigonometric expression (1-2cos(x)^2cos(x)^4)/(sin(x)^2)
Final answer to the exercise
$\sin\left(x\right)^{2}$