What is sqrt(64-64(1-cos^2(x))) ?

The solution to sqrt(64-64(1-cos^2(x))) is 8sqrt(cos^2(x))

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simplify sqrt(64-64(1-cos^2(x)))

simplify

64 - 64 (1 - cos^{2} (x))

8 cos^{2} (x)

Solution steps

64 - 64 (1 - cos^{2} (x))

Factor

64 - 64 (1 - cos^{2} (x)) : 64 (1 - (- cos^{2} (x) + 1))

= 64 (1 - (- cos^{2} (x) + 1))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 64 - (- cos^{2} (x) + 1) + 1

64 = 8

= 8 - (- cos^{2} (x) + 1) + 1

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

= 8 - sin^{2} (x) + 1

Rewrite using trig identities

= 8 cos^{2} (x)

cos (n \cdot π + 9 \cdot π)

e^{l n (\frac{1}{c o s ( x )})}

cos (\frac{nπ}{2} + \frac{π}{2})

\frac{1}{sin ^{2} ( x )} d x

- tan (arctan (x))

What is sqrt(64-64(1-cos^2(x))) ?
The solution to sqrt(64-64(1-cos^2(x))) is 8sqrt(cos^2(x))