I cannot find how or why this, 5sin⁡3x−1=3 Has one of two solutions being this,...

Jaeden Frederick

Jaeden Frederick

Answered

2022-01-25

I cannot find how or why this,
5sin3x1=3
Has one of two solutions being this,
42.99+n×120
I am lost on how to get this solution. I have found the other one, so I will not mention it.

Answer & Explanation

Emilie Booker

Emilie Booker

Expert

2022-01-26Added 14 answers

Note that sin3x=sin(1803x)=45=sin53.1, which gives two sets of solutions,
3x=53.1+n360
3x=(18053.1)+n360
with n being integers. Thus, the complete sultions are
x=17.7+n120,   x=42.3+n120

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