Is (1-tan(x))^2=1-2tan(x)+tan^2(x) ?

The answer to whether (1-tan(x))^2=1-2tan(x)+tan^2(x) is True

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prove (1-tan(x))^2=1-2tan(x)+tan^2(x)

prove

(1 - tan (x))^{2} = 1 - 2 tan (x) + tan^{2} (x)

True

Solution steps

(1 - tan (x))^{2} = 1 - 2 tan (x) + tan^{2} (x)

Manipulating left side

(1 - tan (x))^{2}

Expand

(1 - tan (x))^{2} : 1 - 2 tan (x) + tan^{2} (x)

= 1 + tan^{2} (x) - 2 tan (x)

= 1 - 2 tan (x) + tan^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

csc (x) cos (x) tan (x) = 1

(\frac{cot ^{2} ( x )}{1 + cot ^{2} ( x )}) = cos^{2} (x)

cos (6 0^{\circ}) = 2 cos^{2} (3 0^{\circ}) - 1

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

sec^{2} (θ) = \frac{1}{cos ^{2} ( θ )}

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