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

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

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

simplify

(- 4 sin (t))^{2} + (4 cos (t))^{2}

4

Solution steps

(- 4 sin (t))^{2} + (4 cos (t))^{2}

Simplify

(- 4 sin (t))^{2} + (4 cos (t))^{2} : 16

= 16

Factor the number:

16 = 4^{2}

= 4^{2}

Apply radical rule:

a^{2} = a, a \geq 0

4^{2} = 4

= 4

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