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Prove that sqrt((1-cos2theta)/(1+cos2the...

Prove that `sqrt((1-cos2theta)/(1+cos2theta))=tantheta` where `tantheta>0`

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Explanation:
`L H S=frac{1-cos 2 theta}{1+cos 2 theta}`
` =frac{1-(cos ^{2} theta-sin ^{2} theta)}{1+cos ^{2} theta-sin ^{2} theta} text { since } cos 2 theta=cos ^{2} theta-sin ^{2} theta `
` =frac{1-cos ^{2} theta+sin ^{2} theta}{1-sin ^{2} theta+cos ^{2} theta} text { expanding brackets } `
` =frac{sin ^{2} x+sin ^{2} x}{cos ^{2} x+cos ^{2} x} {since} sin ^{2} x+cos x=1 `
` =frac{2 sin ^{2} x}{2 cos ^{2} x} `
` =frac{sin ^{2} x}{cos ^{2} x} `
` ...
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