What is sqrt(9-9sin^2(x)) ?

The solution to sqrt(9-9sin^2(x)) is 3sqrt(cos^2(x))

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simplify sqrt(9-9sin^2(x))

simplify

9 - 9 sin^{2} (x)

3 cos^{2} (x)

Solution steps

9 - 9 sin^{2} (x)

Factor

9 - 9 sin^{2} (x) : 9 (1 - sin^{2} (x))

= 9 (1 - sin^{2} (x))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 9 - sin^{2} (x) + 1

9 = 3

= 3 - sin^{2} (x) + 1

Rewrite using trig identities

= 3 cos^{2} (x)

- cos (πn)

sin (- a)

sin (- t)

cos (arcsin (9 x))

cos (2 tan (- 1 (x)))

What is sqrt(9-9sin^2(x)) ?
The solution to sqrt(9-9sin^2(x)) is 3sqrt(cos^2(x))