# How do you solve #sin^6x+cos^6x=1-3sin^2xcos^2x#?

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dk_ch
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Oct 28, 2016

I think , It is an identity to prove.

Proved

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Steve M
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Oct 27, 2016

#### Answer:

It is not an equation that can be solved, but rather it is an identity.

#### Explanation:

Just to help simplify things let

Using the fundamental identity

So we can then write the initial equation:

What does this mean! well it means the initial equation is true for all vales of x. Hence it is not an equation that can be solved, but rather it is an identity.

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