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

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

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

prove

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

True

Solution steps

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

Manipulating right side

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

Simplify

sin (x) sin^{2} (x) : sin^{3} (x)

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

Apply exponent rule:

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

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

= sin^{1 + 2} (x)

Add the numbers:

1 + 2 = 3

= sin^{3} (x)

= sin^{3} (x)

We showed that the two sides could take the same form

\Rightarrow True

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

sin^{2} (α) sec (α) = tan^{2} (α)

1 + tan (2 x) tan (x) = sec (2 x)

\frac{4}{cos ^{2} ( x )} - 5 = 4 tan^{2} (x) - 1

(sec (x) + tan (x)) (1 - sec (x)) = cos (x)

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