What is sqrt(1-cos(θ))sqrt(1+cos(θ)) ?

The solution to sqrt(1-cos(θ))sqrt(1+cos(θ)) is sqrt((-cos(θ)+1)(cos(θ)+1))

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simplify sqrt(1-cos(θ))sqrt(1+cos(θ))

simplify

1 - cos (θ) 1 + cos (θ)

(- cos (θ) + 1) (cos (θ) + 1)

Solution steps

1 - cos (θ) 1 + cos (θ)

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- cos (θ) + 1 cos (θ) + 1 = (- cos (θ) + 1) (cos (θ) + 1)

= (- cos (θ) + 1) (cos (θ) + 1)

- (\infty^{2} + 1) e^{- \infty}

(3 x - 1)^{3}

e^{s} \cdot e^{s}

\frac{3}{10} \cdot \frac{10}{10}

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