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 one year ago
Show that the function sinx+cosx is of period 2pi. Also prove that sinx+cosx=sqrt(2)sin(x+pi/4)
 one year ago
Show that the function sinx+cosx is of period 2pi. Also prove that sinx+cosx=sqrt(2)sin(x+pi/4)

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yashar806
 one year ago
Best ResponseYou've already chosen the best response.1hi satellite help me after this

goformit100
 one year ago
Best ResponseYou've already chosen the best response.0i think it is C.B.S.E. Question

koli123able
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt2\sin(x+\frac{ \pi }{ 4 })\]

koli123able
 one year ago
Best ResponseYou've already chosen the best response.0what does C.B.S.E means ?

koli123able
 one year ago
Best ResponseYou've already chosen the best response.0sinx cos pi/4 + cosx sin pi/4 what's next?

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0it is a consequence of the "addition angle" formula the general case is \[a\sin(x)+b\cos(x)=\sqrt{a^2+b^2}\sin(x+\theta)\] and a succinct explanation is in the attachment

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0this requires putting into the form asin(x) + bcos(x) = Rsin(x + m) \[R = \sqrt{a^2 + b^2}\] and \[m = \tan^{1}(\frac{a}{b})\] so\[R = \sqrt{1^2 + 1^2 } = \sqrt{2}\] \[m = \tan^{1}(\frac{1}{1}) = \frac{\pi}{4}\] so you get \[\sqrt{2}\sin(x + \frac{\pi}{4})\]
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