What is sqrt(36-36sin^2(x)) ?

The solution to sqrt(36-36sin^2(x)) is 6sqrt(cos^2(x))

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simplify sqrt(36-36sin^2(x))

simplify

36 - 36 sin^{2} (x)

6 cos^{2} (x)

Solution steps

36 - 36 sin^{2} (x)

Factor

36 - 36 sin^{2} (x) : 36 (1 - sin^{2} (x))

= 36 (1 - sin^{2} (x))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 36 - sin^{2} (x) + 1

36 = 6

= 6 - sin^{2} (x) + 1

Rewrite using trig identities

= 6 cos^{2} (x)

2 tan (\frac{π}{2} - x)

csc (arccos (2 x + 3))

- sin (x - 3 x)

- 0.4 a sin (0.4 (- 6))

1 - (cos (t + C))^{2}

What is sqrt(36-36sin^2(x)) ?
The solution to sqrt(36-36sin^2(x)) is 6sqrt(cos^2(x))