Question

Question #ad61b

Answer 1

`x = (5pi)/12 + pin and pi/12 + pin`

Explanation:

We can rewrite as:

`2(2sinxcosx) = 1`

`2sinxcosx = 1/2`

We know that `sin(2x) = 2sinxcosx`.

`sin(2x) = 1/2`

`2x= arcsin(1/2) + 2pin`

`2x = (5pi)/6 + 2pin and pi/6 + 2pin`

`x = (5pi)/12 + pin and pi/12 + pin`

Where `n` is an integer.

Hopefully this helps!