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

The answer to whether 1-2sin^4(x)=1-2sin^2(x) is False

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prove 1-2sin^4(x)=1-2sin^2(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

1 - 2 sin^{4} (1) = - 0.00273 \dots

1 - 2 sin^{4} (1)

Refine to a decimal form

= - 0.00273 \dots

1 - 2 sin^{2} (1) = - 0.41614 \dots

1 - 2 sin^{2} (1)

Refine to a decimal form

= - 0.41614 \dots

The two sides are not equal

\Rightarrow False

sin (z + w) = sin (z) cos (w) + cos (z) sin (w)

tan^{2} (x) = \frac{( 1 - cos ( 2 x ) )}{1 + cos ( 2 x )}

sin (2 x) = 2 sin (x)

\frac{sec ^{2} ( x ) - 1}{sec ( x ) - 1} = sec (x) + 1

sin (θ) - cos^{2} (θ) = sin^{3} (θ)

Is 1-2sin^4(x)=1-2sin^2(x) ?
The answer to whether 1-2sin^4(x)=1-2sin^2(x) is False