Hi! Im stuck on 2 assignment questions and I was hoping to get help on whut I am doing wrong. Its 1st year Calculus 1) It says Given a right angled triangle prove that 1/1+cot^2 X=sin^2 X so I know cot=1/tan so 1/tan= 1/(opp/adj) therefore cot=1/(opp/adj) so 1/cot become (this is where it gets messy) opp/adj..?? i think since cot=1/(opp/adj) =adj/opp so 1/cot youd flip it again so opp/adj??? And sin is opp/hyp .. so Im confused how does 1+opp/adj=opp/hyp ... or is that just it and it doesnt?? 2) is *Solve the given inequalities giving the solution set of each s an interval or as a union of intervals. x^3 <x/9 so Ive tried and tried I dont know how to solve this one. ive tried bringing x/9 to the other side and find a common denominator but that gives (9x^3-x)/9... and I dont know how to get x on one side and the numbers onthe other... especially since there is an x and a x^3.... Is there a set of rules or something Im forgetting... I also tried mult. both sides by 9 9x^3<x.