Question

Cos(90°-A)/sin A + sin(90°-A)/cos A=2

Answer 1

We know, cos(90 - ∅) = sin∅
sin(90 - ∅) = cos∅



Hence,

cos(90 - A)/sinA + sin(90 - A)/cosA



Applying formula, we get


=> sinA/sinA + cosA/cosA

=> 1 + 1

=> 2

$.$

Answer 2

Cos (90°-A)/SinA + Sin(90°-A)/Cos A
$\frac{ Cos (90°-A) }{SinA } + \frac{ Sin(90°-A) }{CosA \: } \\ \frac{ SinA }{SinA} + \frac{CosA}{CosA} \: \\ 1 + 1 = 2$