What is expand (cos(t)-1)^2 ?

The solution to expand (cos(t)-1)^2 is cos^2(t)-2cos(t)+1

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expand (cos(t)-1)^2

expand

(cos (t) - 1)^{2}

cos^{2} (t) - 2 cos (t) + 1

Solution steps

(cos (t) - 1)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

cos^{2} (t) - 2 cos (t) \cdot 1 + 1^{2} : cos^{2} (t) - 2 cos (t) + 1

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

\frac{x ^{2} - 5 x + 1}{( 9 + x ^{2} ) ( x + 2 ) ( x - 1 ) ^{2}}

33 (2 - 23)

\frac{2 s ^{2} + 1}{( s + 2 ) ( s + 3 )}

(x^{\frac{1}{2}}) (6 x^{5} + 15 x^{4} + 12 x^{3} + 9 x^{2})

\frac{( 1 + j ) ^{3}}{( 2 + j ) ^{2}}

What is expand (cos(t)-1)^2 ?
The solution to expand (cos(t)-1)^2 is cos^2(t)-2cos(t)+1