Question

Simplify and find the domain of : sin(2(sin(2x))), I have 2sin(sin(2x))cos(sin(2x))

Answer 1

and for the domain I have \[\mathbb{R} \] except for \[(3\Pi/4)+(\Pi n)\]

Answer 2

the domain is all real numbers

Answer 3

i have no idea what "simplify" means in this context, but you can take the sine of anything. there are no restrictions

Answer 4

but what if 2x = 270º, sin(270) = -1, ahhhh; BUT we dont care, lol, I was mixed up with another number

Answer 5

good. makes no difference at all

Answer 6

oh, ok, well. 1 sec. Ill post the question as it is in my text book. just a sec

Answer 7

it is g(g(x)) and g(x) = sin(2x). so what i did was sin(2(sin(2x)))

Answer 8

you can rewrite this beast as
\[2 \sin(\sin(2 x)) \cos(\sin(2 x))\] if you like not sure why that is simpler though

Answer 9

yes you are correct.

Answer 10

ok, I see. Well. Thanks very much, my question is answered.