Question

find the exact value for 2Cos45xSin45 , I dont get how it equals 1

Answer 1

use the identity

2*sin(t)*cos(t) = sin(2t)

So this means

2*sin(t)*cos(t) = sin(2t)

2*sin(45)*cos(45) = sin(2*45)

2*sin(45)*cos(45) = sin(90)

2*sin(45)*cos(45) = 1

Answer 2

But I understand that it would be 2(sqrt2/2) x (sqrt2/2) = 2(sqrt4/4) = 2(2/4) but I dont know how it equals 1 after that

Answer 3

okay nevermind I'm just stupid. thank you so much !

Answer 4

no you're not, but i'm glad you got it