Exercise

$y=\left(\sin\left(x\right)+\cos\left(x\right)\right)\left(\cos\left(x\right)-\sin\left(x\right)\right)$

Step-by-step Solution

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: $(a+b)(a-b)=a^2-b^2$.

$y=\cos\left(x\right)^2-\sin\left(x\right)^2$

Final answer to the exercise

$y=\cos\left(x\right)^2-\sin\left(x\right)^2$

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