Question

Sabendo que cos a = $\frac{1}{3}$, determine o valor de
$\frac{cotg a - 1}{cossec a - sec a}$

Answer 1

Ola Winycius

(cotg(α) - 1)/(csc(α) - sec(α) = 

(cos(α)/sen(α) - cos(α)/cos(α))/( 1/sen(α) - 1/cos(α) = 

cos(α*(csc(α) - sec(α)/(csc(α) - sec(α) = cos(α) 

cotg(α) - 1)/(csc(α) - sec(α) = cos(α)= 1/3

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