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

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

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

simplify

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

(- sin (x) + 1) (sin (x) + 1)

Solution steps

1 - sin (x) 1 + sin (x)

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- sin (x) + 1 sin (x) + 1 = (- sin (x) + 1) (sin (x) + 1)

= (- sin (x) + 1) (sin (x) + 1)

(2 y^{3})^{2} l e f t (3 y^{2})

e^{- 3 t} \cdot e^{3 t}

- \frac{1}{2} e^{- 3^{2}}

(x - 2)^{2} \cdot (x - 4)^{2}

(5^{l o g_{5} (π)})^{5.2}

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