Question

PLEASE HELP!!!
Simplify 20 sin (2x) cos (2x)

Answer 1

Sine Double Angle again,
\(\large\rm 2\sin(\color{orangered}{\theta})\cos(\color{orangered}{\theta})=\sin(2\cdot\color{orangered}{\theta})\)

Answer 2

But we don't want a 2 on the left side of the equation,
we want a 20, right?

Let's multiply both sides by 10,\[\large\rm 20\sin(\color{orangered}{\theta})\cos(\color{orangered}{\theta})=10\sin(2\cdot\color{orangered}{\theta})\]

Answer 3

You finish from there :)

Answer 4

Thank you!!