Question

What is equivalent to 2sin(2x) / (1+cos(2x))(1-tan^2x) using double angle formulas?

x should be replaced with theta. I do not have a symbol for theta on my keypad.

Answer 1

`(2sin(2x)) /( (1+cos(2x))(1-tan^2x)) = (2\cancel(4)sinxcosx)/(\cancel(2)\cancel(cos^2x)) \times \cancel(cos^2x)/(2cos^2x-1)`

`=(sin2x)/(cos2x)`
`=tan2x`