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

The solution to sqrt(1-cos(x))*sqrt(1+cos(x)) is sqrt((-cos(x)+1)(cos(x)+1))

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

simplify

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

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

Solution steps

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

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

2 x 1 - x

x \times e^{- x}

(e^{u})^{2}

What is sqrt(1-cos(x))*sqrt(1+cos(x)) ?
The solution to sqrt(1-cos(x))*sqrt(1+cos(x)) is sqrt((-cos(x)+1)(cos(x)+1))