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
s i n ( x ) s i n ( 12 ) s i n ( 24 ) s i n ( 228 x ) = 0
all what I managed to do is to simplify it to
s i n ( x ) 2 s i n ( 228 x ) c o s 12 = 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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Answers (1)

Kayleigh Cross
Answered 2022-11-21 Author has 19 answers
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.
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