If Sin A + Sin^2 A = 1 then what would be Cos^2 A + Cos^4 A

Question

If
Sin A + Cos A = sqrt(2) Sin (90 - A)
then
Cot A = ??

Answer 1

Answer is 1
Sin A + Sin^2 A = 1
Sin A = 1 - Sin^2 A
And we know 1 - Sin^2 A = Cos^2 A
so
Sin A = Cos^2 A
squaring both side
Sin^2 A = Cos^4 A
so
Cos^2 A + Cos^4 A = 1 from given condition

Comments

Thnx Salil Agrawal