Question

How do you use the double angle formula to rewrite `6sin x cos x`?

Answer 1

What are the double angle formulas?

`sin(2x) = 2sinxcosx`

`cos(2x) = cos^2x-sin^2x`
`color(white)"ssssssss"` `=1-2sin^2x`
`color(white)"ssssssss"` `=2cos^2x - 1`

`tan(2x)=(2tanx)/(1-tan^2x)`

Which of these look like they might be helpful for rewriting

`6sinxcosx`?

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