Question

Prove that sina^2 +cosb^2=1

Answer 1

★ Ello ★

here is your answer !!

sinA = perpendicular / hypotenuse

p / h

so , sina² = p² / h² -------------(1)

now ,

COSb = base / hypotenuse

Cosb² = b² / h² -------------------(2)


according to Pythagoras theroum


h² = p² + b²



on adding equation 1 and 2 we get


sina² + Cosb² => p² / h² + b² / h²


but {. p² + b² = h² }


=> h² / h²

=> 1


hence , proved



hope it helps you dear !!



$thanks$