What is sqrt(25-25sin^2(θ)) ?

The solution to sqrt(25-25sin^2(θ)) is 5sqrt(cos^2(θ))

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simplify sqrt(25-25sin^2(θ))

simplify

25 - 25 sin^{2} (θ)

5 cos^{2} (θ)

Solution steps

25 - 25 sin^{2} (θ)

Factor

25 - 25 sin^{2} (θ) : 25 (1 - sin^{2} (θ))

= 25 (1 - sin^{2} (θ))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 25 - sin^{2} (θ) + 1

25 = 5

= 5 - sin^{2} (θ) + 1

Rewrite using trig identities

= 5 cos^{2} (θ)

cot (- \frac{n}{3})

(5 + cos (100 t + \frac{π}{3}))^{2}

cot^{2} (9 0^{\circ} - θ)

10 cos (t - \frac{π}{6})

\frac{cos ^{2} ( θ ) - 1}{sin ( x )}

What is sqrt(25-25sin^2(θ)) ?
The solution to sqrt(25-25sin^2(θ)) is 5sqrt(cos^2(θ))