Is sin^3(θ)+sin(θ)cos^2(θ)=sin(θ) ?

The answer to whether sin^3(θ)+sin(θ)cos^2(θ)=sin(θ) is True

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prove sin^3(θ)+sin(θ)cos^2(θ)=sin(θ)

prove

sin^{3} (θ) + sin (θ) cos^{2} (θ) = sin (θ)

True

Solution steps

sin^{3} (θ) + sin (θ) cos^{2} (θ) = sin (θ)

Manipulating left side

sin^{3} (θ) + sin (θ) cos^{2} (θ)

Rewrite using trig identities

= sin (θ)

We showed that the two sides could take the same form

\Rightarrow True

sec^{2} (θ) cot^{2} (θ) = csc^{2} (θ)

tan (\frac{3 π}{2} - x) = cot (x)

\frac{3 csc ( - x )}{sec ( - x )} = - 3 cot (x)

\frac{1 - tan ^{4} ( x )}{1 - tan ^{2} ( x )} = sec^{2} (x)

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

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