What is sqrt(8-(2(2sin(x))^2)) ?

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

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simplify sqrt(8-(2(2sin(x))^2))

simplify

8 - (2 (2 sin (x))^{2})

22 cos (x)

Solution steps

8 - (2 (2 sin (x))^{2})

Remove parentheses:

(a) = a

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

2 (2 sin (x))^{2} = 2^{3} sin^{2} (x)

= 8 - 2^{3} sin^{2} (x)

Simplify

8 - 2^{3} sin^{2} (x) : 8 cos^{2} (x)

= 8 cos^{2} (x)

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 8 cos^{2} (x)

8 = 22

= 22 cos^{2} (x)

Apply radical rule:

assuming

a \geq 0

cos^{2} (x) = cos (x)

= 22 cos (x)

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

sin (9 0^{\circ} - (a - b))

sin (t - π) + sin (t - 2 π)

sin (\frac{θ}{2} - 9 0^{\circ})

sin^{5} (- x)

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