Question

prove that sin2+cos2=1​

Answer 1

Answer:

LHS = sin^2a +cos^2a

sina =p/h

cos a = b/h

so sin^2a =p^2/h^2

and cos ^2a = b^2/ h^2

therefore sin^2a + cos^2a = p^2/h^2 +b^2/h^2

= p^2 +b^2 / h^2 eq 1

using Pythagoras theorem

i.e. perpendicular^2+base^2 = hypotenuse^2

p^2+ b^2 =h^2

using in eq 1

p^2+b^2 / h^2 = h^2/h^2 = 1

LHS = RHS

hence proved

please mark BRAINIEST