Question

Laplace transform of sin cube 2T​

Answer 1

Answer:

8 sin^3 T cos^3 T

Explanation:

sin^3 2T

=(sin 2T)^3

Use [sin 2A=2 sin A cos A]

=(2 sin T cos T)^3

=8 sin^3 T cos^3 T

Hope you find it useful:)

Answer 2

Answer:

cos^3 t = Cos^2 t * Cos t = cos t * (cos 2t + 1)/2 (double angle formula)

so i have (cos t)*(cos 2t)/2 + (cos t)/2.

my book's solution says (cos t)*(cos 2t)/2 = (1/2)(cos (2t+1) + cost (2t-1))...