Write the following in terms of sinx only:

Question

(secx + cscx) / (1 + tanx)

Answer 1

(secx+cscx)/(1+tanx)=

(1/cosx+1/sinx)/(1+sinx/cosx)=

[(sinx+cosx)/(sinx cosx)]/[(cosx+sinx)/cosx]=

[(sinx+cosx)/(sinx cosx)][(cosx)/(sinx+cosx)]=

cosx/(sinx cosx)=

1/sinx