Is 1-2sin^2(2x)=8cos^4(x)-8cos^2(x)+1 ?

The answer to whether 1-2sin^2(2x)=8cos^4(x)-8cos^2(x)+1 is True

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prove 1-2sin^2(2x)=8cos^4(x)-8cos^2(x)+1

prove

1 - 2 sin^{2} (2 x) = 8 cos^{4} (x) - 8 cos^{2} (x) + 1

True

Solution steps

1 - 2 sin^{2} (2 x) = 8 cos^{4} (x) - 8 cos^{2} (x) + 1

Manipulating left side

1 - 2 sin^{2} (2 x)

Rewrite using trig identities

= 8 cos^{4} (x) - 8 cos^{2} (x) + 1

We showed that the two sides could take the same form

\Rightarrow True

sin (\frac{π}{4}) = \frac{2}{2}

\frac{sin ( x )}{cot ( x ) + csc ( x )} = 1 - cos (x)

tan (a) cos (a) = sin (a)

sin (x) (sec (x) + csc (x)) = tan (x) + 1

1 - cot (x) = (csc^{2} (x) - 2 cot (x))

Is 1-2sin^2(2x)=8cos^4(x)-8cos^2(x)+1 ?
The answer to whether 1-2sin^2(2x)=8cos^4(x)-8cos^2(x)+1 is True