Question

Prove that
sec^2 A + cosec^2 A = sec^2 A× cosec^2 A. ​

Answer 1

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Answer 2

➷ Appropriate

question

● Prove that sec^2 A + cosec^2 A = sec^2 A× cosec^2 A.

➷ Required answer

L.H.S. = sec2 A + cosec2 A

$=> \frac{1}{ {cos}^{2} A } + \frac{1}{ {sin}^{2} A}$

$=> \frac{ {sin}^{2}A \: + {cos}^{2} A }{ {sin}^{2} A \: {cos}^{2} A}$

$=> \frac{1}{ {sin}^{2}A \: {cos}^{2} A }$

$=> {cosec}^{2} A \: {sec}^{2} A = R.H.S.$

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