Question

If Sin A +Cosec A= 2

Then $si{n}^2$A + $cose{c}^2$A=__

Answer 1

Sin A +Cosec A= 2
Therefore, $(sinA+cosecA{)}^2$ =4
$si{n}^2$A + $cose{c}^2$A+2sin A cosec A

$si{n}^2$A + $cose{c}^2$A+2sin A x $\frac{1}{sinA}$=4

So,$si{n}^2$A + $cose{c}^2$A=2