Question

How do you use the double angle or half angle formulas to simplify `6sin x cos x`?

Answer 1

`6sin(x)cos(x) = 3sin(2x)`

Explanation:

Double Angle Formula for Sines
`color(white)("XXX")color(blue)(sin(2x)) = color(red)(2sin(x)(cos(x))`

`6sin(x)cos(x) = 3*(color(red)(2sin(x)cos(x))) = 3color(blue)(sin(2x))`