# help solving trigonometric equations I have stumbled into this equation sin(x)sin(12)−sin(24)sin(228−x)=0 all what I managed to do is to simplify it to sin(x)−2sin(228−x)cos12=0 and all what I did after was useless

Jenny Roberson 2022-11-20 Answered
Help solving trigonometric equations
I have stumbled into this equation
$sin\left(x\right)sin\left(12\right)-sin\left(24\right)sin\left(228-x\right)=0$
all what I managed to do is to simplify it to
$sin\left(x\right)-2sin\left(228-x\right)cos12=0$
and all what I did after was useless
my question is how to solve this equation and what exactly should I learn to solve equations like these?
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Kayleigh Cross
Let Summer's age be n. Then Aidan's age is n+18. We're trying to find where n+18=2n, which can easily be solved for n=18.
So when Summer was 18, Aidan was twice her age, 36. If he is 46, then he was twice her age 10 years ago.