Exercise
$\left(1+\cos\left(x\right)\right)\left(1-\cos\left(x\right)\right)=\sin\left(^2x\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Solve the equation (1+cos(x))(1-cos(x))=sin(x)^(2x). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Applying the trigonometric identity: 1-\cos\left(\theta \right)^2 = \sin\left(\theta \right)^2. If the bases are the same, then the exponents must be equal to each other. Rearrange the equation.
Solve the equation (1+cos(x))(1-cos(x))=sin(x)^(2x)
Final answer to the exercise
$x=1$