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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 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](https://tex.z-dn.net/?f=sec+%5Calpha-cos+%5Calpha%3Dsen+%5Calpha+tan+%5Calpha++%5C%5C++%5C%5C++%5Cfrac%7B1%7D%7Bcos+%5Calpha%7D-cos+%5Calpha%3Dsen+%5Calpha+tan+%5Calpha++%5C%5C++%5C%5C++%5Cfrac%7B1-cos%5E%7B2%7D+%5Calpha++%7D%7Bcos+%5Calpha%7D%3Dsen++%5Calpha+tan+%5Calpha++%5C%5C++%5C%5C++%5Cfrac%7Bsen%5E%7B2%7D+%5Calpha++%7D%7Bcos+%5Calpha+%7D%3Dsen+%5Calpha+tan+%5Calpha++%5C%5C++%5C%5C+sen+%5Calpha+.+%5Cfrac%7Bsen+%5Calpha+%7D%7Bcos+%5Calpha+%7D%3Dsen+%5Calpha+tan+%5Calpha++%5C%5C++%5C%5C+sen+%5Calpha+tan+%5Calpha+%3Dsen+%5Calpha+tan+%5Calpha++)
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