The problem involves solving the equation 7sin(2x) - 13sin(x) = 0 for all solutions in the interval 0 ≤ x < 2π. The original poster attempts to apply the double angle formula for sine to transform the equation.
Some participants have provided guidance on identifying common factors in the equation. There is an indication that progress has been made, as one participant mentions finding the solutions, although the details of the solutions are not fully explored in the discussion.
Participants are working under the constraint of finding all solutions within a specified interval, which may influence their approach to the problem. There is also a mention of confusion regarding the terms involved in the equation.
nickb145 said:Homework Statement
i have
solve 7sin(2x)-13sin(x)=0
for all solutions 0≤X<2p
I used the double angle formula for sin(2x)=2sin(x)cos(x)
The Attempt at a Solution
I'm getting stuck near the end
7(2sin(x)cos(x)-13sin(x))
14sin(x)cos(x)-13sin(x)
now I am stuck
Curious3141 said:What you wrote aren't equations. An equation must have two sides separated by an '='. In this case, your right hand side (RHS) equals 0.
In that final equation, can you find a common factor between the two terms?