Is sin^9(x)=(1-cos^2(x))^4sin(x) ?

The answer to whether sin^9(x)=(1-cos^2(x))^4sin(x) is True

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prove sin^9(x)=(1-cos^2(x))^4sin(x)

prove

sin^{9} (x) = (1 - cos^{2} (x))^{4} sin (x)

True

Solution steps

sin^{9} (x) = (1 - cos^{2} (x))^{4} sin (x)

Manipulating right side

(1 - cos^{2} (x))^{4} sin (x)

Rewrite using trig identities

= sin^{9} (x)

We showed that the two sides could take the same form

\Rightarrow True

csc^{2} (θ) = 1 - cot^{2} (θ)

1 - cot (x) = (1 - cot^{2} (x))

arccos (- x) = arccos (x)

sin (t) (csc (t) - sin (t)) = cos^{2} (t)

1 + cos (\frac{3 π}{4}) = 1 - sin (\frac{3 π}{4})

Is sin^9(x)=(1-cos^2(x))^4sin(x) ?
The answer to whether sin^9(x)=(1-cos^2(x))^4sin(x) is True