MatemáticasBásico1 respuestas

¿Como sacar el seno de 11?

¿Como sacar el seno de 11. 25 sin calculadora de un triangulo igualitario ?

En resumen

<img src="https://tex.z-dn.net/?f=%5Csin%20%5Cleft%2811.25%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29" /> <img src="https://tex.z-dn.net/?f=%5Cmathrm%7BEscribir%7D%5C%3A%5Csin%20%5Cleft%2811.

Mejor respuesta

Yiyelon
1

<img src="https://tex.z-dn.net/?f=%5Csin%20%5Cleft%2811.25%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BEscribir%7D%5C%3A%5Csin%20%5Cleft%2811.25%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29%5C%3A%5Cmathrm%7Bcomo%7D%5C%3A%5Csin%20%5Cleft%28%5Cfrac%7B22.5%5E%7B%5Ccirc%20%5C%3A%7D%7D%7B2%7D%5Cright%29" />

Utilizar la identidad trigonométrica del medio ángulo :

<img src="https://tex.z-dn.net/?f=%5Csin%20%5Cleft%28%5Cfrac%7Bx%7D%7B2%7D%5Cright%29%3D%5Csqrt%7B%5Cfrac%7B1-%5Ccos%20%5Cleft%28x%5Cright%29%7D%7B2%7D%7D" />

<img src="https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B1-%5Ccos%20%5Cleft%2822.5%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29%7D%7B2%7D%7D" />

sacar cos 45º :

<img src="https://tex.z-dn.net/?f=%5Ccos%20%5Cleft%2822.5%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29%3D%5Csqrt%7B%5Cfrac%7B2%2B%5Csqrt%7B2%7D%7D%7B4%7D%7D" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BEscribir%7D%5C%3A%5Ccos%20%5Cleft%2822.5%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29%5C%3A%5Cmathrm%7Bcomo%7D%5C%3A%5Ccos%20%5Cleft%28%5Cfrac%7B45%5E%7B%5Ccirc%20%5C%3A%7D%7D%7B2%7D%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B1%2B%5Ccos%20%5Cleft%2845%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29%7D%7B2%7D%7D" />

<img src="https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B2%2B%5Csqrt%7B2%7D%7D%7B4%7D%7D" />

Volviendo al ejercicio :

<img src="https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B1-%5Csqrt%7B%5Cfrac%7B2%2B%5Csqrt%7B2%7D%7D%7B4%7D%7D%7D%7B2%7D%7D" />

<img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%7B2-%5Csqrt%7B2%2B%5Csqrt%7B2%7D%7D%7D%7D%7B2%7D" />.