What is sqrt(4-4cos^2(t)) ?

The solution to sqrt(4-4cos^2(t)) is 2sqrt(sin^2(t))

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simplify sqrt(4-4cos^2(t))

simplify

4 - 4 cos^{2} (t)

2 sin^{2} (t)

Solution steps

4 - 4 cos^{2} (t)

Factor

4 - 4 cos^{2} (t) : 4 (1 - cos^{2} (t))

= 4 (1 - cos^{2} (t))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 4 - cos^{2} (t) + 1

4 = 2

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

Rewrite using trig identities

= 2 sin^{2} (t)

- 2 + 2 sin (2 x - \frac{π}{2})

a^{2} - ((a sin (x)))^{2}

tan (16 π - x)

tan (nπ - θ)

sin (- 1 x d x)

What is sqrt(4-4cos^2(t)) ?
The solution to sqrt(4-4cos^2(t)) is 2sqrt(sin^2(t))