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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: $(a+b)(a-b)=a^2-b^2$.
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$\sin\left(x\right)^2-\cos\left(x\right)^2=1$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (sin(x)-cos(x))(sin(x)+cos(x))=1. 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: \sin\left(\theta \right)^2-\cos\left(\theta \right)^2 = -\cos\left(2\theta \right). Multiply both sides of the equation by -1. The angles where the function \cos\left(2x\right) is -1 are.