Is sin^7(x)=(1-cos^2(x))^3sin(x) ?

The answer to whether sin^7(x)=(1-cos^2(x))^3sin(x) is True

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prove sin^7(x)=(1-cos^2(x))^3sin(x)

prove

sin^{7} (x) = (1 - cos^{2} (x))^{3} sin (x)

True

Solution steps

sin^{7} (x) = (1 - cos^{2} (x))^{3} sin (x)

Manipulating right side

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

Rewrite using trig identities

= sin^{7} (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{sec ( θ )}{csc ( θ )} = tan (θ)

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

tan (θ) \cdot cos (θ) = sin (θ)

csc (x) + cot (x) = \frac{1 + cos ( x )}{sin ( x )}

\frac{cos ( x )}{1 - sin ( x )} = tan (\frac{x}{2} - \frac{π}{4})

Is sin^7(x)=(1-cos^2(x))^3sin(x) ?
The answer to whether sin^7(x)=(1-cos^2(x))^3sin(x) is True