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DLS Group TitleBest ResponseYou've already chosen the best response.0
\[\LARGE y=3sinx2cosx\]
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
I know \[ \LARGE 1=<sinx+cosx<= \sqrt{2}\]
 one year ago

RadEn Group TitleBest ResponseYou've already chosen the best response.1
y = 3sinx  2cosx similar with y = 3sinx  2sin(90x) y_minimum when x = 0, it is y = 3(0)  2(1) = 2 y_max when x = 90, it is y = 3(1)  2(0) = 3 so, the range for y is 2 <= y <= 3
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
why did you convert cosx to sin(90x) any specific reason?
 one year ago

RadEn Group TitleBest ResponseYou've already chosen the best response.1
that is an identity in trigono :) cos(x) = sin(90x)
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
i know that i want to know why did you think of that?
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
in this question i mean any specific reason?
 one year ago

RadEn Group TitleBest ResponseYou've already chosen the best response.1
i trying to make y in sin terms, so that easier to get the output values maybe :)
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
does anyone have any other methods ?just curious..thanks @RadEn though!
 one year ago

RadEn Group TitleBest ResponseYou've already chosen the best response.1
u can make y in cosine terms too y = 3cos(90x)  2cosx you're welcome :)
 one year ago

Shadowys Group TitleBest ResponseYou've already chosen the best response.1
the cosine graph can be though as the sine graph offset by 90 degrees phase. so basically RadEn's method is to simplify the graph. Of course, \(y=3\sin x  2\cos x\) y is maximum when the y=3sin x is max and y=2cos x is min. note that there cannot be negative values. for min y ,it is vice versa. the max value of 3sin x is 3(sinx =1), while the min value of 2 cosx is 0. so that gives 3 the min value 3sin x is 0(sinx =0), while the min value of 2 cosx is 2. so that gives 2 so, 2<=y<=3
 one year ago

Shadowys Group TitleBest ResponseYou've already chosen the best response.1
you're welcome :)
 one year ago
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