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))

Remove parentheses:

(a) = a

= 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)

\frac{sin ( x )}{cos ( x )} - ln (x)

tan (θ) + tan (θ + π) + tan (θ + 2 π)

a csc (- 1)

cos (3 x + \frac{π}{2})

tan (x + \frac{5 π}{4})

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