- #1
ver_mathstats
- 260
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- Homework Statement
- Solve for x.
- Relevant Equations
- sin(3x)= -1/2
Homework Statement: Solve for x.
Homework Equations: sin(3x)= -1/2
sin(3x) = -1/2
3x = sin-1(-1/2)
3x = -π/6
x = -π/18
x = -π/18 + 2π/3 = 11π/18
11π/18 + 2π/3 = 23π/18
11π/18 + (2π(4))/3 = 35π/18
The solutions I obtained were 23π/18 and 35π/18. Are these correct? I'm not entirely sure if I did this problem correctly. Thank you.
Homework Equations: sin(3x)= -1/2
sin(3x) = -1/2
3x = sin-1(-1/2)
3x = -π/6
x = -π/18
x = -π/18 + 2π/3 = 11π/18
11π/18 + 2π/3 = 23π/18
11π/18 + (2π(4))/3 = 35π/18
The solutions I obtained were 23π/18 and 35π/18. Are these correct? I'm not entirely sure if I did this problem correctly. Thank you.