Question

prove that sinx*tanx/1-cosx= 1+secx​

Answer 1

Answer:

secx−tanx

1

=

sec

2

x−tan

2

x

secx+tanx

=secx+tanx

secx−tanx

1

−

cosx

1

=secx+tanx−secx=tanx

Answer 2

Answer:

sinx.tanx/(1-cosx)=sinx.sinx/(cosx(1-cosx))

sin^2x/cosx(1-cosx)

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

=secx+1 proved