Is prove-2cos^4(x)=-2(cos^2(x))(cos^2(x)) ?

The answer to whether prove-2cos^4(x)=-2(cos^2(x))(cos^2(x)) is True

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prove-2cos^4(x)=-2(cos^2(x))(cos^2(x))

prove

- 2 cos^{4} (x) = - 2 (cos^{2} (x)) (cos^{2} (x))

True

Solution steps

- 2 cos^{4} (x) = - 2 cos^{2} (x) cos^{2} (x)

Manipulating right side

- 2 cos^{2} (x) cos^{2} (x)

Simplify

- 2 cos^{2} (x) cos^{2} (x) : - 2 cos^{4} (x)

- 2 cos^{2} (x) cos^{2} (x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

cos^{2} (x) cos^{2} (x) = cos^{2 + 2} (x)

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

Add the numbers:

2 + 2 = 4

= - 2 cos^{4} (x)

= - 2 cos^{4} (x)

We showed that the two sides could take the same form

\Rightarrow True

csc (θ) = \frac{tan ( θ ) cot ( θ )}{sin ( θ )}

sin (x) cos (x) - 2 tan (x) = tan (x) cos (2 x)

cot^{2} (x) - cos^{2} (x) = cot^{2} (x) cot (x)

sin^{2} (3 2^{\circ}) + cos^{2} (x) = 1

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

Is prove-2cos^4(x)=-2(cos^2(x))(cos^2(x)) ?
The answer to whether prove-2cos^4(x)=-2(cos^2(x))(cos^2(x)) is True