1. tanθ(cotθ+tanθ)=sec2θ
2. sin2θcot2θ+sin2θ=1
3. (1+sinθ)(1-sinθ)=cos2θ
1-sinθ+sinθ-sin2θ=cos2θ
1-sin2θ=cos2θ
cos2θ=cos2θ
4. ((secθ+tanθ)(secθ-tanθ))/cscθ=sinθ
5. sinθ(cscθ-sinθ)=cos2θ
6. secθcotθ=cscθ
(1/cosθ)(cosθ/sinθ)=cscθ
1/sinθ=cscθ
cscθ=cscθ
7. sinθtanθ+cosθ=secθ
8. tanθcscθcosθ=1
(sinθ/cosθ)(1/sinθ)(cosθ/1)=1
1=1
9. (1-sinθ)/cosθ=cosθ/(1+sinθ)
10. (sinθ/cscθ)+(cosθ/secθ)=1