Question

How do you use the half angle formulas to simplify the expression `sqrt((1-cos6x)/2)`?

Answer 1

`sqrt((1-cos6x)/2)=sin3x`

Explanation:

We can use the identity `sin(A/2)=sqrt((1-cosA)/2)`

Hence, `sqrt((1-cos6x)/2)=sin((6x)/2)=sin3x`