Prove that is here 1 - cos {2}a / 1 - sin a{2} = tan {2} a

Ryfterek asked Sep 22, 2022

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2 votes

Prove that is here

1 - cos {2}a / 1 - sin a{2} = tan {2} a

Ryfterek asked Sep 22, 2022

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26 votes

$\\ \sf\longmapsto (1-cos2A)/(1-sin2A)$

$\boxed{\sf (cosA)/(sinA)=cotA}$

$\\ \sf\longmapsto (1-cos2A)/(1-sin2A)$

$\\ \sf\longmapsto 1-cot2A$

$\\ \sf\longmapsto 1-(1)/(tan2A)$

$\\ \sf\longmapsto (tan2A-1)/(tan2A)$

$\\ \sf\longmapsto tan2A$

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