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

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

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

simplify

(1 - cos (x)) \cdot (1 + cos (x))

sin^{2} (x)

Solution steps

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

Expand

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

= 1 - cos^{2} (x)

Rewrite using trig identities

= sin^{2} (x)

1 0^{3} \cdot 1 0^{2}

2 3^{6}

10 \cdot (- 5)

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