What is sqrt(64-64sin^2(x)) ?

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

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simplify sqrt(64-64sin^2(x))

simplify

64 - 64 sin^{2} (x)

8 cos^{2} (x)

Solution steps

64 - 64 sin^{2} (x)

Factor

64 - 64 sin^{2} (x) : 64 (1 - sin^{2} (x))

= 64 (1 - sin^{2} (x))

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

64 = 8

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

Rewrite using trig identities

= 8 cos^{2} (x)

sin (arccos (\frac{x}{18}))

a sin (sin (\frac{7 π}{6}))

cos (2 π - nπ)

sin (a + a)

sin (arccos (v))

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