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Expand the expression $\left(1+\sin\left(x\right)+\cos\left(x\right)\right)^2$ using the square of a binomial
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$(a+b)^2=a^2+2ab+b^2$
Learn how to solve simplify trigonometric expressions problems step by step online. Expand and simplify the trigonometric expression (1+sin(x)cos(x))^2. Expand the expression \left(1+\sin\left(x\right)+\cos\left(x\right)\right)^2 using the square of a binomial. Take the square of the first term: 1. Twice (2) the product of the two terms: 1 and \sin\left(x\right). Take the square of the second term: \sin\left(x\right).