Help With Trig Homework?

[Kristen]

verify the identity:

1. sin t scs t=1

3. (1+sinx)(1-sinx)= cos²x

5. cos²x-sin²x=1-2sin²x

11. (sec²x)/(tanx) = secx cscx

14. 1/(sinx) - sinx = (cos²x) / (sinx)

[chemistry guy]

1
sint*(1/sint)=1



5
cos^2x-sin^2x
=1-sin^2x-sin^2x
1-2sin^2x

11
sec^2x/tanx=
(1/cos^2x)/(sinx/cosx)
=(1/cosx)*(1/sinx)=secx cscx

14
=(sin^2x+cos^2x)/sinx-
sin^2x/sinx
=cos^2x/sinx

[chemistry guy]

1
sint*(1/sint)=1



5
cos^2x-sin^2x
=1-sin^2x-sin^2x
1-2sin^2x

11
sec^2x/tanx=
(1/cos^2x)/(sinx/cosx)
=(1/cosx)*(1/sinx)=secx cscx

14
=(sin^2x+cos^2x)/sinx-
sin^2x/sinx
=cos^2x/sinx