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Special quotients Calculator

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Solved example of special quotients

$\frac{\cos\left(x\right)^2-\sin\left(x\right)^2}{\cos\left(x\right)+\sin\left(x\right)}=\cos\left(x\right)-\sin\left(x\right)$
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The difference of the squares of two terms, divided by the sum of the same terms, is equal to the difference of the terms, in other words:<ul><li>$\displaystyle\frac{a^2-b^2}{a+b}=a-b$</li><li>Where the value of $a$ is $\cos\left(x\right)$</li><li>and the value of $b$ is $\sin\left(x\right)$, therefore:</li></ul>

$\cos\left(x\right)-\sin\left(x\right)=\cos\left(x\right)-\sin\left(x\right)$
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Both expressions are equal

true

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