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 (arcsin (\frac{x}{5}))

sin (θ + 2 π)

- cos (- x)

sin (18 0^{\circ} - a)

cos (arcsin (10 x))

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