If Sin A +Cosec A= 2, then $s i n^{2}$ A + $c o s e c^{2}$ A =__

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Solution

Given, sin A + cosec A = 2
Therefore, $(s i n A + c o s e c A)^{2}$ = 4
$s i n^{2}$ A + $c o s e c^{2}$ A + 2sin A cosec A = 4

$s i n^{2}$ A + $c o s e c^{2}$ A + 2 sin A x $\frac{1}{s i n A}$ = 4

So, $s i n^{2}$ A + $c o s e c^{2}$ A = 2.

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If Sin A +Cosec A= 2, then $s i n^{2}$ A + $c o s e c^{2}$ A =__

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