I'm kind of stuck on the final steps of this problem.

Determine all solution of the equation 5 sin 3x - 11= 3 sin 3x - 12 in the domain 0≤x≤2π

I've gotten to the point of sin 3x = -0.5, but I'm not sure of what to do next.

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- March 6th 2010, 09:04 AMDemonX01Trig equation
I'm kind of stuck on the final steps of this problem.

Determine all solution of the equation 5 sin 3x - 11= 3 sin 3x - 12 in the domain 0≤x≤2π

I've gotten to the point of sin 3x = -0.5, but I'm not sure of what to do next. - March 6th 2010, 09:18 AMskeeter
- March 6th 2010, 09:21 AMSoroban
Hello, DemonX01!

A variation of skeeter's solution . . .

Quote:

Determine all solutions of the equation: . . in the domain

I've gotten to the point of sin 3x = -0.5,

but I'm not sure of what to do next.

You should know that: . . . . plus its variations.

. . So: .

Therefore: .

- March 6th 2010, 10:36 AMDemonX01
Thanks to both of you for your help!(Nod)