Learn how to solve factor by difference of squares problems step by step online. Solve the trigonometric equation (csc(x)-1)(csc(x)+1)=1-csc(x)^2. 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: \csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2. Apply the trigonometric identity: 1-\csc\left(\theta \right)^2=-\cot\left(\theta \right)^2. Grouping all terms to the left side of the equation.
Solve the trigonometric equation (csc(x)-1)(csc(x)+1)=1-csc(x)^2
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The difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2=(a+b)(a-b) in elementary algebra.