`sin(u) = -3/5, (3pi)/2 < u < 2pi` Find the exact values of sin(2u), cos(2u), and tan(2u) using the double angle formulas.

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Given `sin(u)=-3/5, (3pi)/2<u<2pi`

Angle u is in quadrant 4. A right triangle is drawn in quadrant 4. Since`sin(u)=-3/5`

the side opposite from angle u is 3 and the hypotenuse is 5. Using the pythagorean theorem, the side adjacent to angle u is 4.