about Inequalities

2011-03-24 5:59 am

find the maximum and minimum values of the following and find the corresponding values of x ,where 0°≦x≦ 360
1. 2^(COSX)
2. 6/(3-sinx)
更新1:

corresponding values of x?

回答 (1)

2011-03-24 6:21 am
✔ 最佳答案
about Inequalities
find the maximum and minimum values of the following and find
he corresponding values of x,where 0°≦x≦ 360
1. 2^(Cosx)
Sol
-1<=Cosx<=1
2^(--1)<=2^(Cosx)<=2^1
1/2<=2^(Cosx)<=2

2. 6/(3-Sinx)
Sol
-1<=Sinx<=1
-1<=-Sinx<=1
2<=3-Sinx<=4
1/2>=1/(3-Sinx)>=1/4
3>=6/(3-Sinx)>=3/2




2011-03-23 23:15:59 補充:
1. 2^(Cosx)
Sol
-1<=Cosx<=1
2^(-1)<=2^(Cosx)<=2^1
1/2<=2^(Cosx)<=2
when min Cosx=-1=>x=180度
when max Cosx=1 => x=0 or 360度

2. 6/(3-Sinx)
Sol
-1<=Sinx<=1
-1<=-Sinx<=1
2<=3-Sinx<=4
1/2>=1/(3-Sinx)>=1/4
3>=6/(3-Sinx)>=3/2
when min Sinx=1=>x=90度
when max Sinx=-1 =>x=270度


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