[ 1-tanA]^2/[1-cotA]^2=tan^A

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Ram Kushwah 6 years, 11 months ago
{tex}\begin{array}{l}\frac{(1-\mathrm{tanA})^2}{(1-\mathrm{cotA})^2}=\frac{(1-{\displaystyle\frac{\mathrm{sinA}}{\mathrm{cosA}}})^2}{(1-\frac{\mathrm{cosA}}{\mathrm{sinA}})^2}\\=\frac{{\displaystyle(}\cos{\displaystyle\mathrm A}{\displaystyle-}{\displaystyle\mathrm{sinA}}{\displaystyle{\displaystyle)}^2}}{{\displaystyle\cos^2}{\displaystyle\mathrm A}}\times\frac{{\displaystyle\sin^2}{\displaystyle\mathrm A}}{(\mathrm{sinA}-\mathrm{cosA})^2}=\frac{\sin^2\mathrm A}{{\displaystyle\cos}^2\mathrm A}=\tan^2\mathrm A\\\end{array}{/tex}
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