MatemáticasBásico1 respuestas

Ayuda?

Ayuda! Si : sen(x + 10°) = cos(x + 40°) hallar : tg3x + (4√3) (sen(x + 10°)).

En resumen

<img src="https://tex.z-dn.net/?

Mejor respuesta

Gorra99
6

<img src="https://tex.z-dn.net/?f=%5Csin%20%28x%2B10%29%3D%5Ccos%28x%2B40%29%5C%5C%20%5C%5C%0A%5Csin%20%28x%2B10%29%3D%5Csin%2850-x%29%5C%5C%20%5C%5C%0A%5Csin%20%28x%2B10%29-%5Csin%2850-x%29%3D0%5C%5C%20%5C%5C%0A2%5Ccos%5Cleft%28%5Cdfrac%7Bx%2B10%2B50-x%7D%7B2%7D%5Cright%29%5Csin%5Cleft%28%5Cdfrac%7Bx%2B10-50%2Bx%7D%7B2%7D%5Cright%29%3D0%5C%5C%20%5C%5C%20%5C%5C%0A%5Ccos%2830%29%5Csin%28x-20%29%3D0%5C%5C%20%5C%5C%0A%5Csin%28x-20%29%3D0%5C%5C%20%5C%5C%0Ax-20%3Dk%5Cpi%5C%2C%2C%5C%2C%20%5Cforall%20k%5Cin%20%5Cmathbb%20Z%5C%5C%20%5C%5C%0A%5Cboxed%7Bx%3D20%2Bk%5Cpi%7D%0A" />

Entonces

<img src="https://tex.z-dn.net/?f=E%3D%5Ctan3x%2B4%5Csqrt3%5Csin%28x%2B10%29%5C%5C%20%5C%5C%0AE%3D%5Ctan%5B3%2820%2Bk%5Cpi%29%5D%2B4%5Csqrt3%5Csin%2820%2Bk%5Cpi%2B10%29%5C%5C%20%5C%5C%0AE%3D%5Ctan%2860%2B3k%5Cpi%29%2B4%5Csqrt3%5Csin%2830%2Bk%5Cpi%29%5C%5C%20%5C%5C%0AE%3D%28-1%29%5E%7Bk%7D%5Csqrt3%2B4%5Csqrt3%5Csin%2830%29%5C%5C%20%5C%5C%0A%5Cboxed%7BE%3D%28-1%29%5Ek%5Csqrt3%2B2%5Csqrt3%7D" />.