kritika9813
kritika9813 kritika9813
  • 17-10-2020
  • Mathematics
contestada

cos^4 (A/2)- sin^4(A/2)=cosA

Respuesta :

serinanemkul14721
serinanemkul14721 serinanemkul14721
  • 17-10-2020

Answer:

LHS=cos^4(A/2)-sin^4(A/2)

={cos^2(A/2)}^2 -{sin^2(A/2)}^2

={cos^2(A/2) - sin^2(A/2)}{cos^2(A/2) +sin^2(A/2)}

=cosA×1

=cosA

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