JEE Advance - Mathematics (1990 - No. 22)
In a triangle $$ABC$$, angle $$A$$ is greater than angle $$B$$. If the measures of angles $$A$$ and $$B$$ satify the equation $$3{\mathop{\rm sinx}\nolimits} - 4si{n^3}x - k = 0,$$ $$0 < k < 1$$, then the measure of angle $$C$$ is
$${\pi \over 3}$$
$${\pi \over 2}$$
$${2\pi \over 3}$$
$${5\pi \over 6}$$