10 points!!! Math problem (:?

kristen

Can someone please help me with this math?

Verify each trigonometric identity.

sin x + cos x = cot x +1/ csc x

and

cos x / 1+ sin x = 1- sin x/ cos x

abcdef

1.

sin x + cos x multiply and divide by sinx

= sin x( sin x/sin x + cos x/sin x)

= sin x(1 + cot x)

Since sin x = 1/cosec x

= (1 + cot x)/cosec x

2. since sin^2x + cos^2x = 1

cos^2x = 1 - sin^2x

cos^2x = (1 + sinx)(1 - sinx)

cosx*cosx = (1 + sinx)(1 - sinx)

cosx/1+sinx = 1-sinx/cosx

surendhar

1.sinx+cosx=1/cscx+cosx then take l.c.m then 1/cscx+cosx=(1+cscx*cosx)/cscx=cotx+1/csx.

2.cosx/1+sinx=(cosx/1+sinx)*((1-sinx)/(1-sinx)) {conjucating} this equals to (cosx*(1-sinx))/1-sinx^2 this equals to cosx(1-six) / cosx^2 this equals to i-sinx/cosx........