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

This Question is Closed

nubeer
 3 years ago
Best 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.

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

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

nubeer
 3 years ago
Best ResponseYou've already chosen the best response.22sinxcosx +sin^2x+cos^2x 1 have you understood how i have got this part?

kenneyfamily
 3 years ago
Best ResponseYou've already chosen the best response.0yes with the formula right?

nubeer
 3 years ago
Best ResponseYou've already chosen the best response.22sinxcosx +sin^2x+cos^2x 1 what is sin^2x+cos^2x = ?

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

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

kenneyfamily
 3 years ago
Best ResponseYou've already chosen the best response.0you're awesome..thanks!!!
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