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1) ![frac{1}{Cos^{2} alpha } - frac{Sin^{2} alpha}{Cos^{2} alpha}- frac{Sin^{2} alpha*Cos^{2} alpha }{Cos^{2} alpha }= frac{Cos^{2} alpha(1-Sin^{2} alpha ) }{Cos^{2} alpha} =Cos^{2} alpha frac{1}{Cos^{2} alpha } - frac{Sin^{2} alpha}{Cos^{2} alpha}- frac{Sin^{2} alpha*Cos^{2} alpha }{Cos^{2} alpha }= frac{Cos^{2} alpha(1-Sin^{2} alpha ) }{Cos^{2} alpha} =Cos^{2} alpha](https://tex.z-dn.net/?f=+frac%7B1%7D%7BCos%5E%7B2%7D+alpha+%7D+-+frac%7BSin%5E%7B2%7D+alpha%7D%7BCos%5E%7B2%7D+alpha%7D-+frac%7BSin%5E%7B2%7D+alpha%2ACos%5E%7B2%7D+alpha++++%7D%7BCos%5E%7B2%7D+alpha+%7D%3D+frac%7BCos%5E%7B2%7D+alpha%281-Sin%5E%7B2%7D+alpha++%29+%7D%7BCos%5E%7B2%7D+alpha%7D+++%3DCos%5E%7B2%7D+alpha++)
2)![frac{1-Sin^{2} alpha*Cos^{2} alpha -Sin^{2} alpha}{Cos^{2} alpha} =frac{Cos^{2} alpha(1-Sin^{2} alpha ) }{Cos^{2} alpha}=Cos^{2} alpha frac{1-Sin^{2} alpha*Cos^{2} alpha -Sin^{2} alpha}{Cos^{2} alpha} =frac{Cos^{2} alpha(1-Sin^{2} alpha ) }{Cos^{2} alpha}=Cos^{2} alpha](https://tex.z-dn.net/?f=+frac%7B1-Sin%5E%7B2%7D+alpha%2ACos%5E%7B2%7D+alpha+-Sin%5E%7B2%7D+alpha%7D%7BCos%5E%7B2%7D+alpha%7D+%3Dfrac%7BCos%5E%7B2%7D+alpha%281-Sin%5E%7B2%7D+alpha+%29+%7D%7BCos%5E%7B2%7D+alpha%7D%3DCos%5E%7B2%7D+alpha++)
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