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kenneyfamily
Group Title
MAJOR HELP PLEASE!!
Verify that the equation is an identity. Show all your work.
(sin x + cos x)^2  1 = sin 2x
 2 years ago
 2 years ago
kenneyfamily Group Title
MAJOR HELP PLEASE!! Verify that the equation is an identity. Show all your work. (sin x + cos x)^2  1 = sin 2x
 2 years ago
 2 years ago

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nubeer Group TitleBest ResponseYou've already chosen the best response.2
(a+b)^2 =a^2+2ab+b^2 so (sin x + cos x)^2  1 sin^2x+2sinxcosx+cos^2x 1 2sinxcosx +sin^2x+cos^2x 1 i think u can do from here.
 2 years ago

tamtoan Group TitleBest ResponseYou've already chosen the best response.0
use formula \[(a+b)^{2} = a^{2} + 2ab + b^{2}\], expand that out and you will see what you need to
 2 years ago

kenneyfamily Group TitleBest ResponseYou've already chosen the best response.0
@nubeer i'm sorry i am a little lost, could you please explain further?
 2 years ago

nubeer Group TitleBest ResponseYou've already chosen the best response.2
2sinxcosx +sin^2x+cos^2x 1 have you understood how i have got this part?
 2 years ago

kenneyfamily Group TitleBest ResponseYou've already chosen the best response.0
yes with the formula right?
 2 years ago

nubeer Group TitleBest ResponseYou've already chosen the best response.2
2sinxcosx +sin^2x+cos^2x 1 what is sin^2x+cos^2x = ?
 2 years ago

nubeer Group TitleBest ResponseYou've already chosen the best response.2
yes.. now put this 1 in the equation 2sinxcosx +sin^2x+cos^2x 1 2sinxcosx +11.. got it?
 2 years ago

nubeer Group TitleBest ResponseYou've already chosen the best response.2
@kenneyfamily so?
 2 years ago

kenneyfamily Group TitleBest ResponseYou've already chosen the best response.0
2sinxcosx
 2 years ago

kenneyfamily Group TitleBest ResponseYou've already chosen the best response.0
@nubeer right?
 2 years ago

nubeer Group TitleBest ResponseYou've already chosen the best response.2
yes and 2sinxcosx=sin2x (according to the identity)
 2 years ago

kenneyfamily Group TitleBest ResponseYou've already chosen the best response.0
you're awesome..thanks!!!
 2 years ago
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