Question

Given that sin 2x = cos(2x - 30). Find the value of tan x.​

Answer 1

x=30o+n90on∈Z

Explanation:

cos2x=sin(90o−2x)=sin(2x−30o)

Which mean 90o−2x=2x−30o+n360o

or 90o−2x+2x−30o=(2n+1)180o

The later cannot be true.

so x=30o+n90on∈Z

Answer 2

`▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪`

The value of tan x is :

• 
  `\boxed{ \boxed{ (1)/( √(3) ) }}`

solution is in attachment !