Question

Question #c0ad9

Answer 1

`1+2cscx=cotx+3cscx`

`=>sinx( 1+2/sinx)=sinx(cosx/sinx+3/sinx)`

`=>sinx+2=cosx+3`

`=>1/sqrt2sinx-1/sqrt2cosx=1/sqrt2`

`=>cos(pi/4)sinx-sin(pi/4)cosx=sin(pi/4)`

`=>sin(x-pi/4)=sin(pi/4)`

`=>x-pi/4=npi+(-1)^npi/4" where " nin ZZ`

`=>x=npi+(-1)^npi/4+pi/4" where " nin ZZ`