Question

identidades 
secA- cosA = senA x tan A

Answer 1

secA- cosA = senA x tan A

$sec \alpha-cos \alpha=sen \alpha tan \alpha \\ \\ \frac{1}{cos \alpha}-cos \alpha=sen \alpha tan \alpha \\ \\ \frac{1-cos^{2} \alpha }{cos \alpha}=sen \alpha tan \alpha \\ \\ \frac{sen^{2} \alpha }{cos \alpha }=sen \alpha tan \alpha \\ \\ sen \alpha . \frac{sen \alpha }{cos \alpha }=sen \alpha tan \alpha \\ \\ sen \alpha tan \alpha =sen \alpha tan \alpha$