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

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

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

simplify

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

- sin^{2} (x)

Solution steps

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

Expand

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

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

Rewrite using trig identities

= - sin^{2} (x)

16 x + 80

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

2 a^{7} - 128 a

(\frac{1}{x} + \frac{y}{3})^{3}

8 x^{3} - \frac{1}{8} - 3 x + \frac{3}{x}

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