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Exercise

$\left(1+\cot\left(x\right)\right)\left(1-\cot\left(x\right)\right)\csc\left(x\right)^2$

Step-by-step Solution

1

Applicare la formula: $\left(a+b\right)\left(a+c\right)$$=a^2-b^2$, dove $a=1$, $b=\cot\left(x\right)$, $c=-\cot\left(x\right)$, $a+c=1-\cot\left(x\right)$ e $a+b=1+\cot\left(x\right)$

$\left(1-\cot\left(x\right)^2\right)\csc\left(x\right)^2$

Final answer to the exercise

$\left(1-\cot\left(x\right)^2\right)\csc\left(x\right)^2$

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