Question 938638
Prove each Identity:
a) {{{sin^2(theta)/(1-cos(theta))=1+cos(theta)}}}
{{{sin^2(theta)/(1-cos(theta))=(1-cos^2(theta))/(1-cos(theta))=(1+cos(theta))
(1-cos(theta))/(1-cos(theta))=1+cos(theta)}}}

b) {{{(tan(theta))+(1/tan(theta))=sin(theta)/cos(theta)+cos(theta)/sin(theta)=(sin^2(theta)+cos^2(theta))/(cos(theta)sin(theta))=1/cos(theta)sin(theta)}}}

c) {{{tan^2(theta)/(1+tan^2(theta))= ((sin^2(theta))/cos^2(theta))/((1+sin^2(theta)/(cos^2(theta))))=(sin^2(theta))/(sin^2(theta)+cos^2(theta))=sin^2(theta)}}}

d) {{{sin^2(x)(1+1/tan^2(x))=sin^2(x)(1+(cos^2(x))/(sin^2(x)))
=sin^2(x)((sin^2(x)+cos^2(x))/sin^2(x))=1}}}