What is sqrt(9-9sin^2(θ)) ?

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

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simplify sqrt(9-9sin^2(θ))

simplify

9 - 9 sin^{2} (θ)

3 cos^{2} (θ)

Solution steps

9 - 9 sin^{2} (θ)

Factor

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

= 9 (1 - sin^{2} (θ))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 9 - sin^{2} (θ) + 1

9 = 3

= 3 - sin^{2} (θ) + 1

Rewrite using trig identities

= 3 cos^{2} (θ)

sin (3 t + \frac{3 π}{2})

sec (36 0^{\circ} - x)

tan (arccos (4 x))

tan (\frac{π}{4} + \frac{x}{2})

sin^{4} (- cos^{4} (x))

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