Pasimplehin ang lahat: 1 / cot2x - 1 / cos2x?

Pasimplehin ang lahat: 1 / cot2x - 1 / cos2x?
Anonim

Sagot:

# rarr1 / (cot2x) -1 / (cos2x) = (sinx-cosx) / (sinx + cosx) #

Paliwanag:

# rarr1 / (cot2x) -1 / cos2x #

# = (sin2x) / (cos2x) -1 / (cos2x) #

# = - (1-2sinx * cosx) / (cos2x) #

# = - (cos ^ 2x-2cosx * sinx + sin ^ 2x) / (cos2x) #

# = - (cosx-sinx) ^ 2 / ((cosx + sinx) (cosx-sinx) #

# = (sinx-cosx) / (sinx + cosx) #