Verifica cada identidadsecx - cosx = senx ?
Verifica cada identidad secx - cosx = senx . Tanx y senx + cosx. Cotx = cscx.
Verifica cada identidad secx - cosx = senx . Tanx y senx + cosx. Cotx = cscx.
En resumen
1. - Recordemos : • sec x = 1 / cos x • 1 - cos²x = sen²x <img src="https://tex.z-dn.net/?
1. -
Recordemos :
• sec x = 1 / cos x
• 1 - cos²x = sen²x
<img src="https://tex.z-dn.net/?f=%7B%5Csec%20x%20-%5Ccos%20x%20%3D%7D%5C%5C%5C%5C%7B%5Cdfrac%7B1%7D%7B%5Ccos%20x%7D-%20%5Ccos%20x%3D%7D%5C%5C%5C%5C%5C%5C%7B%5Cdfrac%7B1-%5Ccos%20%5E2x%7D%7B%5Ccos%20x%7D%3D%7D%5C%5C%5C%5C%5C%5C%7B%5Cdfrac%7B%5Csin%20%5E2%20x%7D%7B%5Ccos%20%7D%3D%7D%5C%5C%5C%5C%5C%5C%7B%5Cdfrac%7B%5Csin%20x%7D%7B1%20%7D.%5Cdfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D%3D%7D%5C%5C%5C%5C%5C%5C%7B%5Cboxed%7B%5Csin%20x.%5Ctan%20x%7D%5C%20%5C%20%5C%20%5C%20l.q.q.d.%7D" />
2.
-
Recordemos :
• cot x = cos x / sen x
• sen²x + cos²x = 1
Procedimiento :
<img src="https://tex.z-dn.net/?f=%7B%5Csin%20x%20%2B%20%5Ccos%20x.%5Ccot%20x%3D%7D%5C%5C%5C%5C%5C%5C%7B%5Csin%20x%20%2B%20%5Cdfrac%7B%5Ccos%20x%7D%7B1%7D.%5Cdfrac%7B%5Ccos%20x%7D%7B%5Csin%20x%7D%3D%7D%5C%5C%5C%5C%5C%5C%7B%5Csin%20x%20%2B%20%5Cdfrac%7B%5Ccos%5E2x%7D%7B%5Csin%20x%7D%3D%7D%5C%5C%5C%5C%5C%5C%7B%5Cdfrac%7B%5Csin%5E2x%2B%5Ccos%5E2x%7D%7B%5Csin%20x%7D%3D%7D%5C%5C%5C%5C%5C%5C%7B%5Cdfrac%7B1%7D%7B%5Csin%20x%7D%3D%7D%5C%5C%5C%5C%5C%5C%7B%5Cboxed%7B%5Ccsc%20x%7D%5C%20%5C%20%5C%20%5C%20l.q.q.d%7D" />
Salu2!
: )
Wellington.
Cosx + senx . Tanx = secx cosx + senx . Senx = secx - - - - - - cosx cos² x + sen²x - - - - - - - - - - - - - - - - - - - - - = secx cosx 1 - - - - - - - - - - - - - - - - - - - = secx cosx secx = secx lqqd.
1. senx x senx / cosx + cosx = sen ^ 2x / cosx + cosx / 1 = sen ^ 2x + cos ^ 2(todo sobre cosx) 1 / cosx 2. 1 / cosx - cosx / 1 todo sobre 1 / senx - senx / 1 = 1 - cos ^ 2x / cosx = senx / cosx o tgx 3. Senx * cosx *…