What is factor cos^2(x)-2cos(x)+1 ?

The solution to factor cos^2(x)-2cos(x)+1 is (cos(x)-1)^2

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factor cos^2(x)-2cos(x)+1

factor

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

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

Solution steps

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

Rewrite

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

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

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

Apply Perfect Square Formula:

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

a = cos (x), b = 1

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

cos (x) (4 5^{\circ})

30 + (- 10)

a x^{2} - b + b x^{2} - a

csc (x^{3} - 5 x) d x

tan^{3} (x) + cot^{3} (x)

What is factor cos^2(x)-2cos(x)+1 ?
The solution to factor cos^2(x)-2cos(x)+1 is (cos(x)-1)^2