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)

- (5)^{2}

(64 x^{4})^{0.5} \cdot 4 x^{- 2}

(1 + x)^{2}

1.21 \cdot 0.16

77 \cdot 7 \cdot 7

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))