Is sin^2(x)cos(x)-cos(x)=-cos^3(x) ?

The answer to whether sin^2(x)cos(x)-cos(x)=-cos^3(x) is True

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prove sin^2(x)cos(x)-cos(x)=-cos^3(x)

prove

sin^{2} (x) cos (x) - cos (x) = - cos^{3} (x)

True

Solution steps

sin^{2} (x) cos (x) - cos (x) = - cos^{3} (x)

Manipulating left side

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

Rewrite using trig identities

= - cos^{3} (x)

We showed that the two sides could take the same form

\Rightarrow True

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

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

sin (x) (sin (2 x)) = sin (3 x)

(cos (θ))^{2} (sec (θ))^{2} = 1

sin (β) = \frac{1}{4}

Is sin^2(x)cos(x)-cos(x)=-cos^3(x) ?
The answer to whether sin^2(x)cos(x)-cos(x)=-cos^3(x) is True