Question

ctgx+tgx=cscx
_______
secx

Answer 1

cscx tgx senx + ctgx = secx cscx 

1/senx * sen x / cos x * sen x + cos x / sen x = 1 / cos x * 1 / sen x 

sen x / cos x + cos x / sen x = 1 / ( sen x cosx ) 

(sen^2 x + cos^2x) / ( sen x cosx ) = 1 / ( sen x cosx ) 

1 / ( sen x cosx ) = 1 / ( sen x cosx ) 

recorda que (sen^2 x + cos^2x) = 1 (relacion Pitagorica)