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Precalculus Mathematics Homework Help
Solution Set for cot-1(x)2 -(5 cot-1(x)) +6 >0?
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[QUOTE="takando12, post: 5482003, member: 557635"] [h2]Homework Statement [/h2] Solution set of the inequality (cot[SUP]-1[/SUP](x))[SUP]2[/SUP] -(5 cot[SUP]-1[/SUP](x)) +6 >0 is? [h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] Subs cot[SUP]-1[/SUP](x)=y We get a quadratic inequality in y. y[SUP]2[/SUP]-5y+6>0 (y-2)(y-3)>0 Using the wavy curve method, the solution set is, y∈(-∞,2) ∪(3,∞) So cot[SUP]-1[/SUP](x)<2 and cot[SUP]-1[/SUP](x)>3 Taking cot on both sides of the inequality, x<cot2 and x>cot3 x∈(-∞,cot2) ∪(cot3,∞) Yet the answer is (-∞,cot3)∪(cot2,∞). I'm guessing that in the step where I take cot on both sides, I'll have to change the inequality signs as arccot is a decreasing function. Is that where the problem lies? [/QUOTE]
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Precalculus Mathematics Homework Help
Solution Set for cot-1(x)2 -(5 cot-1(x)) +6 >0?
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