Question

simplify by using a double angle or a half angle formula

1-cos 6x
___________
sin 6x

Answer 1

cos(6x) = 1 - 2sin²(3x), so the numerator can be simplified to 2sin²(3x)
sin(6x) = 2sin(3u)cos(3u)
So we have:
\[\frac{ 2\sin^2(3x) }{ 2\sin(3x)\cos(3x) } = \frac{ \sin(3x) }{ \cos(3x) } = \tan(3x)\]

Answer 2

yeah tan3x ans

Answer 3

thx both

Answer 4

tan 3x