Question

Qual expressão equivale a sen (x)/(1-cos (x))

Answer 1

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$\sf\dfrac{sen(x)}{(1-cos(x))}\cdot\dfrac{(1+cos(x))}{(1+cos(x))}\\\sf\dfrac{sen(x)\cdot(1+cos(x))}{1-cos^2(x)}\\\sf\dfrac{\diagup\!\!\!\!\!sen(x)\cdot(1+cos(x))}{\diagup\!\!\!\!\!sen^2(x)}\\\sf\dfrac{1+cos(x)}{sen(x)}=\dfrac{1}{sen(x)}+\dfrac{cos(x)}{sen(x)}\\\sf\dfrac{sen(x)}{1-cos(x)}=cosec(x)+cotg(x)\green\checkmark$