2. Demostrar las siguientes identidades trigonométricas ?
2. Demostrar las siguientes identidades trigonométricas :
En resumen
A) <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%282Sen%5E%7B2%7D%28%5Calpha%29-1%29%5E%7B2%7D%7D%7BSen%5E%7B4%7D%28%5Calpha%29-Cos%5E%7B4%7D%28%5Calpha%29%7D%3D1-2Cos%5E%7B2%7D%28%5Calpha%29" />Demostración : <img src="https://tex.z-dn.net/?
Mejor respuesta
A) <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%282Sen%5E%7B2%7D%28%5Calpha%29-1%29%5E%7B2%7D%7D%7BSen%5E%7B4%7D%28%5Calpha%29-Cos%5E%7B4%7D%28%5Calpha%29%7D%3D1-2Cos%5E%7B2%7D%28%5Calpha%29" />Demostración : <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%282Sen%5E%7B2%7D%28%5Calpha%29-1%29%5E%7B2%7D%7D%7BSen%5E%7B4%7D%28%5Calpha%29-Cos%5E%7B4%7D%28%5Calpha%29%7D%3D%5Cfrac%7B%282Sen%5E%7B2%7D%28%5Calpha%29-1%29%5E%7B2%7D%7D%7B%28Sen%5E%7B2%7D%28%5Calpha%29%2BCos%5E%7B2%7D%28%5Calpha%29%29%28Sen%5E%7B2%7D%28%5Calpha%29-Cos%5E%7B2%7D%28%5Calpha%29%29%7D%5CRightarrow" /><img src="https://tex.z-dn.net/?f=%5Cfrac%7B%282%281-Cos%5E%7B2%7D%28%5Calpha%29%29-1%29%5E%7B2%7D%7D%7B%281-Cos%5E%7B2%7D%28%5Calpha%29%29-Cos%5E%7B2%7D%28%5Calpha%29%29%7D%3D%5Cfrac%7B%281-Cos%5E%7B2%7D%28%5Calpha%29%29%5E%7B2%7D%7D%7B1-2Cos%5E%7B2%7D%28%5Calpha%29%7D%3D1-2Cos%5E%7B2%7D%28%5Calpha%29" />b) <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2Tan%28%5Calpha%29%7D%7B1-Tan%5E%7B2%7D%28%5Calpha%29%7D%2B%5Cfrac%7B1%7D%7B2Cos%5E%7B2%7D%28%5Calpha%29-1%7D%3D%5Cfrac%7BCos%28%5Calpha%29%2BSen%28%5Calpha%29%7D%7BCos%28%5Calpha%29-Sen%28%5Calpha%29%7D" />Demostración : <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2Tan%28%5Calpha%29%7D%7B1-Tan%5E%7B2%7D%28%5Calpha%29%7D%2B%5Cfrac%7B1%7D%7B2Cos%5E%7B2%7D%28%5Calpha%29-1%7D%3D%5Cfrac%7B2Tan%28%5Calpha%29%7D%7B1-%5Cfrac%7BSen%5E%7B2%7D%28%5Calpha%29%7D%7BCos%5E%7B2%7D%28%5Calpha%29%7D%7D%2B%5Cfrac%7B1%7D%7B2Cos%5E%7B2%7D%28%5Calpha%29-1%7D" /><img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7BCos%5E%7B2%7D%28%5Calpha%292%28%5Cfrac%7BSen%28%5Calpha%29%7D%7BCos%28%5Calpha%29%7D%29%7D%7BCos%5E%7B2%7D%28%5Calpha%29-Sen%5E%7B2%7D%28%5Calpha%29%7D%2B%5Cfrac%7B1%7D%7B2Cos%5E%7B2%7D%28%5Calpha%29-1%7D%3D%5Cfrac%7B2Sen%28%5Calpha%29Cos%28%5Calpha%29%7D%7BCos%5E%7B2%7D%28%5Calpha%29-Sen%5E%7B2%7D%28%5Calpha%29%7D%2B%5Cfrac%7B1%7D%7B2Cos%5E%7B2%7D%28%5Calpha%29-%28Cos%5E%7B2%7D%28%5Calpha%29%2BSen%5E%7B2%7D%28%5Calpha%29%29%7D" /><img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B2Sen%28%5Calpha%29Cos%28%5Calpha%29%2B%28Cos%5E%7B2%7D%28%5Calpha%29%2BSen%5E%7B2%7D%28%5Calpha%29%29%7D%7BCos%5E%7B2%7D%28%5Calpha%29-Sen%5E%7B2%7D%28%5Calpha%29%7D%3D%5Cfrac%7B%28Sen%28%5Calpha%29%2BCos%28%5Calpha%29%29%5E%7B2%7D%7D%7BCos%5E%7B2%7D%28%5Calpha%29-Sen%5E%7B2%7D%28%5Calpha%29%7D" /><img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28Sen%28%5Calpha%29%2BCos%28%5Calpha%29%29%5E%7B2%7D%7D%7B%28Sen%28%5Calpha%29%2BCos%28%5Calpha%29%29%28Cos%28%5Calpha%29-Sen%28%5Calpha%29%7D%3D%5Cfrac%7BSen%28%5Calpha%29%2BCos%28%5Calpha%29%7D%7BCos%28%5Calpha%29-Sen%28%5Calpha%29%7D" />c) <img src="https://tex.z-dn.net/?f=Tan%28%5Calpha%29%2B%5Cfrac%7B1%7D%7BCos%5E%7B3%7D%28%5Calpha%29%7D-%5Cfrac%7B1%7D%7BSec%28%5Calpha%29-Tan%28%5Calpha%29%7D%3D%5Cfrac%7BSen%5E%7B2%7D%28%5Calpha%29%7D%7BCos%5E%7B3%7D%28%5Calpha%29%7D" />Demostración : <img src="https://tex.z-dn.net/?f=Tan%28%5Calpha%29%2B%5Cfrac%7B1%7D%7BCos%5E%7B3%7D%28%5Calpha%29%7D-%5Cfrac%7B1%7D%7BSec%28%5Calpha%29-Tan%28%5Calpha%29%7D%3DTan%28%5Calpha%29%2B%5Cfrac%7B1%7D%7BCos%5E%7B3%7D%28%5Calpha%29%7D-%5Cfrac%7BSec%28%5Calpha%29%2BTan%28%5Calpha%29%7D%7B%28Sec%28%5Calpha%29-Tan%28%5Calpha%29%29%28Sec%28%5Calpha%29%2BTan%28%5Calpha%29%29%7D" />[img = 10][img = 11]d) [img = 12]Demostración : [img = 13][img = 14]e) [img = 15]Demostración : [img = 16][img = 17].
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