Determine all the values of angle if and is between and . Give the answers correct to 1 decimal place.
This is weird, I have solved to the point that and is in . Hence one of the options should have only 2 answers. Did I go wrong?
You didn't go wrong but rather didn't complete the whole equation. The problem you made appears to be that you cancelled out sin(x) which you can't do because sin(x) is potentially 0. I've outlined the method using factorising below
From the domain restrictions
Multiply by cos(x) and factorise
or
This is because cos(x) is symmetrical in the line so we can do where 180-70.5 is the distance the first point is away from 180