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sauravshakya
 2 years ago
y=sinx
find the average value of y in the interval 0 to 90
sauravshakya
 2 years ago
y=sinx find the average value of y in the interval 0 to 90

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

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.0mean value theorem for integrals?

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0No not mean value theorem... Here I just want to find the avereage value

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0ndx=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

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0Now, from there I will get 1/90 Which surely not CORRECT

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

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0@experimentX can u PLZ help

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2this should be close to zero.dw:1359042684509:dw

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

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2hmm ... is 90 really degree?

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0And yes that was what I was going to ask... Why does it matter

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

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2you 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.

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0So actually sin(pi/2 radian) =1

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0And we supposed pi/2 radian =90 degree

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2yes!! radian is more natural measure of angles.

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0So, is the correct answer 2/pi

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