Is (1-cos(x))*(1-cos(x))=(1-cos(x))^2 ?

The answer to whether (1-cos(x))*(1-cos(x))=(1-cos(x))^2 is True

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prove (1-cos(x))*(1-cos(x))=(1-cos(x))^2

prove

(1 - cos (x)) \cdot (1 - cos (x)) = (1 - cos (x))^{2}

True

Solution steps

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

Manipulating left side

(1 - cos (x)) (1 - cos (x))

Simplify

(1 - cos (x)) (1 - cos (x)) : (1 - cos (x))^{2}

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

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

We showed that the two sides could take the same form

\Rightarrow True

2 cos^{2} (x) = 0

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

sec^{2} (A) - cos (A) sec (A) = tan^{2} (A)

\frac{csc ( - x )}{sec ( - x )} = - tan (\frac{π}{2} - x)

sin (θ) + \frac{cos ^{2} ( θ )}{sin ( θ )} = csc (θ)

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