What is sqrt(6-12sin^2(x)) ?

The solution to sqrt(6-12sin^2(x)) is sqrt(6)sqrt(cos(2x))

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simplify sqrt(6-12sin^2(x))

simplify

6 - 12 sin^{2} (x)

6 cos (2 x)

Solution steps

6 - 12 sin^{2} (x)

Simplify

6 - 12 sin^{2} (x) : 6 cos (2 x)

= 6 cos (2 x)

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 6 cos (2 x)

tan (9 0^{\circ} - x) sin (x)

sin (π - x) cos (π + x)

tan (π - 2 j)

4 sin (2 x - \frac{π}{4}) + 3

cos (- 2 π - nπ)

What is sqrt(6-12sin^2(x)) ?
The solution to sqrt(6-12sin^2(x)) is sqrt(6)sqrt(cos(2x))