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sauravshakya
Group Title
y=sinx
find the average value of y in the interval 0 to 90
 one year ago
 one year ago
sauravshakya Group Title
y=sinx find the average value of y in the interval 0 to 90
 one year ago
 one year ago

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sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
I mean find lim x>0 {sin0 +sindx +sin2dx +sin3dx +...+sin(ndx)/(n+1)} where ndx=90
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.0
mean value theorem for integrals?
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
No not mean value theorem... Here I just want to find the avereage value
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
ndx=90 n=90/dx Now, lim x>0 {sin0 +sindx +sin2dx +sin3dx +...+sin(ndx)/(n+1)} lim x>0 {sin0 +sindx +sin2dx +sin3dx +...+sin(ndx)/(90/dx +1)} lim x>0 {(sin0 +sindx +sin2dx +sin3dx +...+sin(ndx))dx/(90+dx)} dw:1359042392858:dw
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Now, from there I will get 1/90 Which surely not CORRECT
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Now, If I do ndx =pi/2 then I will get 2/pi
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
@experimentX can u PLZ help
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
this should be close to zero.dw:1359042684509:dw
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.0
Well 90 is degree, you surely can't use that in these calculations ? pi/2 is appropiate.
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
hmm ... is 90 really degree?
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
And yes that was what I was going to ask... Why does it matter
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
degree is just a notation made for the sake of ease ... radian is the actual value.
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
you might have noted lim x>0 sin(x)/x = 1 or ... as approx .. when 'x' is very small, sin(x) ~ x ... this never works for degree ... it sounds funny.
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
So actually sin(pi/2 radian) =1
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
And we supposed pi/2 radian =90 degree
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
yes!! radian is more natural measure of angles.
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
So, is the correct answer 2/pi
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
compare these with the area bound by the curves with x axis an 0 and pi/2
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
thanx again
 one year ago
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