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

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

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

simplify

4 - 4 cos^{2} (x)

2 sin^{2} (x)

Solution steps

4 - 4 cos^{2} (x)

Factor

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

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

4 = 2

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

Rewrite using trig identities

= 2 sin^{2} (x)

sec^{2} (\frac{π}{4} + x)

cot (5 x - \frac{5 π}{3})

cos (\frac{nπ \cdot 2}{2})

- 6 sin (ω t - \frac{π}{4})

csc (- cos (\cdot cot (x)))

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