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In a triangle ABC, angle A is greater th...

In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation `3 sin x - 4 sin^3 x - k = 0, 0 lt k lt 1`, then thje measure of angle C is

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`A>B`
`3sinx-4sin^3x-k=0`
`sin3x=k`
`sin3A=k`
`sin3B=k`
`sin3A-sin3B=0`
`2cos((3A+3B)/2)sin((3A-3B)/2)=0`
`A+B=60`
...
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