General solutions of trig equation $4\sin(x) - 3\sin(2x)=0$

61 Views Asked by At

The question is :

$4\sin(x) - 3\sin(2x)=0$, find in terms of degrees the general solution to that equation.

I got $\sin(x)=0$ and $2 - 3\cos x=0$

From this I then get $180n, 48.19 + 360n, 311.81 + 360n \text { (to 2 decimal places)}$

However, the answers are $180k, 48.19 + 360n , -48.19 + 360n \text { (to 2 decimal places)}$,

I was wondering why am I incorrect? I was also wondering why is one of the constants different to the rest ($k$ and then $n$)

1

There are 1 best solutions below

5
On BEST ANSWER

The two answers are identical: $311.81=360 - (48.19)$.