$$\frac{co\sec^{2}A-\sec^{2}A}{co\sec^{2}A+\sec^{2}A}$$
$\frac{co-1}{co+1}$
$$\frac{\left(co-1\right)\left(\cos(A)\right)^{-2}}{\left(co+1\right)\left(\cos(A)\right)^{-2}}$$
$$\frac{co-1}{co+1}$$
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