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waterineyesBest ResponseYou've already chosen the best response.0
What is the derivative of cosx??
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
Or you can say that the derivative of cosx is sinx... Now integral is just reverse of derivative.. So whose sinx is derivative of which quantity???
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
dw:1342100312222:dw
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
Or you can use Euler's Identities to prove it...
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
\[\large \sin \theta = \frac{e^{i \theta}  e^{i \theta}}{2i}\] \[\large \cos \theta = \frac{e^{i \theta} + e^{i \theta}}{2}\] Find the integral of sin theta you will get cos theta..
 one year ago

estudierBest ResponseYou've already chosen the best response.1
Other possibilities are to integrate the Taylor Series for Sin x on some interval or from first principles as here http://www.math.com/tables/derivatives/more/trig.htm
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
a good thing to remember is the integral of a cofunction is alsways negative that explains the negative sign
 one year ago

acrossBest ResponseYou've already chosen the best response.1
lmao she has no clue how to integrate \(\sin\) and there's people suggesting she use Euler's identity, hahaha.
 one year ago

DHASHNIBest ResponseYou've already chosen the best response.0
thanks to every one i got the ans!!!!!!
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
She has clue how to integrate but she is asking why?? and mind your language @across
 one year ago

acrossBest ResponseYou've already chosen the best response.1
@DHASHNI, this follows from the differentiation of the trigonometric functions:\[\sin x\implies\cos x\\\cos x\implies\sin x\\\sin x\implies\cos x\\\cos x\implies\sin x\\\]
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
@across prove them...
 one year ago

acrossBest ResponseYou've already chosen the best response.1
I can Google you a proof in less than five seconds. I don't have to prove anything to you.
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
That is what she is asking... Google??? What else you can do...
 one year ago

DHASHNIBest ResponseYou've already chosen the best response.0
@across : i knw the formulas ....... i jus wanna know how integral sinx is (cos x)........the proof for that~
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
here's another fun proof \[\int sinx dx\] let u = cosx du = sin x dx du = sinxdx \[\implies\int du\] \[\implies \int du\] \[\implies u\] \[\implies \sin x\]
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
Now did you get what she said @across .. If you don't know how to prove them then do not make fun of anybody...
 one year ago

acrossBest ResponseYou've already chosen the best response.1
OH, she wants the PROOF. For all we know, the title may have suggested a geometric interpretation.
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
I think a word known as WHY is sufficient for all the things...
 one year ago
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