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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Simplify

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

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

Apply rule:

a (- b) = - ab

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

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

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

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96 a 2 - 48 a 2 m + 144 a 2 n 2

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\frac{1}{( 1 - 2 x ) ^{2}}

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y (x^{3} e^{x y} - y)

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3^{0}

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

Frequently Asked Questions (FAQ)

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