Prove that the following equation is an identity.(sin(4t)/8)=(1/2)(sin(t)co s(t)-2sin(^3)cos(t))

Given identity:     for the left-hand sideuse double angle identity  with      use sine double angle identity again on sin(2t)this gets us that 1/2 fraction that the right-hand side has    we can use a cosine double angle identity. we have the following possible forms to choose from:     because the right-hand side does not have any other powers of cosine and only a sine expression raised to a power of three, use the      form for      distribute only the sine and cosine and we get   

31 is prime. and it’s prime factorization is just 31.

The answer you are looking for is right in front of you it’s c. 3/20