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math>philosophy
Group Title
Prove that the range of \[1 + \sin ^{2} x\] is between 1 and 2, inclusive.
How do I show this?
 one year ago
 one year ago
math>philosophy Group Title
Prove that the range of \[1 + \sin ^{2} x\] is between 1 and 2, inclusive. How do I show this?
 one year ago
 one year ago

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AravindG Group TitleBest ResponseYou've already chosen the best response.3
sin x maximum vallue is 1
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.3
so max value of exp will be 2
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.3
now minimum value when x=0 sin x=0
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.3
so minimum value =1
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.3
so 1+x^2 has values [1,2]
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.3
becaus sin x max value is 1
 one year ago

akash_809 Group TitleBest ResponseYou've already chosen the best response.0
sinx , minimum value =1, sin^2x , minimum value =0 ( sin^2x) cant be negative and maximum value of sin^2x=1....put sin^2x=1 for maximum value and put sin^2x=0 for minimum value
 one year ago

akash_809 Group TitleBest ResponseYou've already chosen the best response.0
yes maximum value is 2
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.3
so to maximise sin^x+1 ,,,,sin x maximum should be there
 one year ago
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