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

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

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

prove

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

True

Solution steps

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

Manipulating left side

1 - 2 cos^{2} (x)

Rewrite using trig identities

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

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

We showed that the two sides could take the same form

\Rightarrow True

tan (u) - 1 tan (u) + 1 = 1 - cot (u) 1 + cot (u)

arccsc (x) = sin (x)

cot (θ) = \frac{sin ( θ )}{cos ( θ )}

(1 - tan^{2} (θ))^{2} = sec^{2} (θ) - 4 tan^{2} (θ)

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

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