Question

let f(x)= sin x ,g(x)=2x and h(x)=cos x,prove that fog =go(fh)

Answer 1

it is go(f*h)=go(sinx*cosx)=g(sinx*cosx)=2sinxcosx=sin2x

Answer 2

fog=f(2x)=sin2x
got it same i think

Answer 3

wow site has changed

Answer 4

sirir got it i believe

Answer 5

f(gx)=sin(2x)
g(f*h)=2(sinx*cosx)

Answer 6

yh amistre is right srir got it

Answer 7

f(g(x)) = sin(g(x))
= sin(2x)

g(f(x)*h(x)) = 2(f(x)*h(x))
= 2(sin(x) * cos(x))
= 2sin(x)cos(x)

do we have to prove the identity: sin(2x) = 2sin(x)cos(x) as well

Answer 8

^thts the only way this question would be harder, really though i wonder what grade u are in ARavind

Answer 9

11th