Final Answer
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Grouping all terms to the left side of the equation
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$\left(1+\cos\left(x\right)\right)\left(1-\cos\left(x\right)\right)-\sin\left(x\right)=0$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (1+cos(x))(1-cos(x))=sin(x). Grouping all terms to the left side of the equation. Solve the product of difference of squares \left(1+\cos\left(x\right)\right)\left(1-\cos\left(x\right)\right). Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Factor the polynomial \sin\left(x\right)^2-\sin\left(x\right) by it's greatest common factor (GCF): \sin\left(x\right).