What is (cos(a)-1)(cos(a)+1) ?

The solution to (cos(a)-1)(cos(a)+1) is -sin^2(a)

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simplify (cos(a)-1)(cos(a)+1)

simplify

(cos (a) - 1) (cos (a) + 1)

- sin^{2} (a)

Solution steps

(cos (a) - 1) (cos (a) + 1)

Expand

(cos (a) + 1) (cos (a) - 1) : cos^{2} (a) - 1

= cos^{2} (a) - 1

Use the Pythagorean identity:

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

1 - cos^{2} (a) = sin^{2} (a)

= - sin^{2} (a)

(x - 4) (x - 6 + 7) (x - 6 - 7)

\frac{π ( - 3 + 2 )}{12}

(1 + tan (x))^{3} sec^{2} (x)

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

(x - 4) \cdot (x + 2)

What is (cos(a)-1)(cos(a)+1) ?
The solution to (cos(a)-1)(cos(a)+1) is -sin^2(a)