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NewbieCarrotBest ResponseYou've already chosen the best response.1
Did you learn integration before?
 one year ago

NewbieCarrotBest ResponseYou've already chosen the best response.1
Use integration to find the critical points and take that back to your equation sin^3(x)+cos^3(x). But I think it should be not less than 1
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
didnt get you..please elaborate ..
 one year ago

NewbieCarrotBest ResponseYou've already chosen the best response.1
let f(x)=sin^3(x)+cos^3(x), then f'(x)=3sin^2(x)cos(x)3cos^2(x)sin(x) and solve f'(x)=0 for x and use x to find the maximum or minimum of f(x).
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
fair enough i guess.. i got x=0,pi/2 and pi/4 0 and pi/2 yield f(x) =1 and the other one gives 1/sqrt(2) seems correct !! hmm..
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
in the mean time,,i came across this : we know sin^2x ( sinx 1) <= cos^2x ( 1 cosx) equality will hold for x=0 or pi/2 so, sin^3 x  sin^2 x <= cos^2x  cos^3x => sin^3x + cos^3 c <= 1 !!!!!!!!!!!!!!!!!
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
thanks,,@NewbieCarrot
 one year ago
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