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# Please help me in finding range and domain of the question attached in image

Sushant Kumar
42 Points
2 years ago

6+35x-6x^2>0
implies x belongs in (-1/6,6)
but cos x>=1/2
implies $x<=\cos^{-1} 1/2$    we reverse the inequality because $\cos^{-1}$ is a decreasing function

hence we get the solution set (-1/6 , π/3]u[5π/3 , 6)