What is sqrt((4-4sin^2(x))) ?

The solution to sqrt((4-4sin^2(x))) is 2sqrt(cos^2(x))

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simplify sqrt((4-4sin^2(x)))

simplify

(4 - 4 sin^{2} (x))

2 cos^{2} (x)

Solution steps

4 - 4 sin^{2} (x)

Factor

4 - 4 sin^{2} (x) : 4 (1 - sin^{2} (x))

= 4 (1 - sin^{2} (x))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 4 - sin^{2} (x) + 1

4 = 2

= 2 - sin^{2} (x) + 1

Rewrite using trig identities

= 2 cos^{2} (x)

cos (- a - b)

tan (2 θ + 2 θ)

sin (n - π)

36 - 36 sin^{2} (x)

2 tan (\frac{π}{2} - x)

What is sqrt((4-4sin^2(x))) ?
The solution to sqrt((4-4sin^2(x))) is 2sqrt(cos^2(x))