Find a b c if
asinx+bsin3x+csin5x=sin^5x
i can find answer if i use formula for sin^5x but my teacher told me to show him steps and not use that formula

Expand using the Pythagorean identity, :

Then use the identity,

which makes

and

Putting everything together, we get

Now use the identities,

Then

So we end up with

so that

i think the answer is fried chicken ; >

step-by-step explanation: