branaemo branaemo

15-11-2021
Mathematics

contestada

prove sin^2x - cos^2x=1-2cos^2x

Respuesta :

anugraha12 anugraha12

15-11-2021

Answer:

Lhs=sin2x-cos2x

=1-cos2x-cos2x

=1-2cos2x

rhs=Lhs

Answer Link

TheUnknownScientist TheUnknownScientist

15-11-2021

Answer:

sin²x - cos²x = 1 - 2cos²x

Here, we know the identity

sin²θ = 1 - cos²θ

Now,

sin²x - cos²x = 1 - 2cos²x

1 - cos²x - cos²x = 1 - 2cos²x

1 - 2cos²x = 1 - 2cos²x

L.H.S = R.H.S

Hence Proved!

-TheUnknownScientist 72

Answer Link

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