Is sin(θ)=sin^3(θ)+cos^2(θ)sin(θ) ?

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

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prove sin(θ)=sin^3(θ)+cos^2(θ)sin(θ)

prove

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

True

Solution steps

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

Manipulating right side

sin^{3} (θ) + cos^{2} (θ) sin (θ)

Rewrite using trig identities

= sin (θ)

We showed that the two sides could take the same form

\Rightarrow True

\frac{csc ( θ ) - cot ( θ )}{sec ( θ ) - 1} = cot (θ)

sin^{2} (z) + cos^{2} (z) = 1

tan (x) sin (x) = cos (x)

cot (θ) = \frac{1}{tan ( θ )}

cos^{2} (θ) tan^{2} (θ) = sin^{2} (θ)

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