What is sqrt(1-cos(8x))*sqrt(1+cos(8x)) ?

The solution to sqrt(1-cos(8x))*sqrt(1+cos(8x)) is sqrt((-cos(8x)+1)(cos(8x)+1))

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simplify sqrt(1-cos(8x))*sqrt(1+cos(8x))

simplify

1 - cos (8 x) \cdot 1 + cos (8 x)

(- cos (8 x) + 1) (cos (8 x) + 1)

Solution steps

1 - cos (8 x) 1 + cos (8 x)

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- cos (8 x) + 1 cos (8 x) + 1 = (- cos (8 x) + 1) (cos (8 x) + 1)

= (- cos (8 x) + 1) (cos (8 x) + 1)

68 e^{- 0.0534 \cdot 4}

2 (e^{x})^{2}

8.44 \cdot 1 0^{- 4} \cdot 1.5

4 (e^{- (\frac{3}{4})^{2}})

0.104 \cdot 1 0^{- 8} \cdot 6 8^{3}

What is sqrt(1-cos(8x))*sqrt(1+cos(8x)) ?
The solution to sqrt(1-cos(8x))*sqrt(1+cos(8x)) is sqrt((-cos(8x)+1)(cos(8x)+1))