Let's simplify the given expression step by step:
cos(3π/2 - a) = cos(3π/2)cos(a) + sin(3π/2)sin(a)= 0(-cos(a)) - 1sin(a)= -sin(a)
sin(2π + a) = sin(2π)cos(a) + cos(2π)sin(a)= 0cos(a) + 1sin(a)= sin(a)
Now, we have:cos(3π/2 - a) sin(2π + a) = (-sin(a)) sin(a) = -sin^2(a)
Therefore, the expression simplifies to -sin^2(a).
Let's simplify the given expression step by step:
cos(3π/2 - a) = cos(3π/2)cos(a) + sin(3π/2)sin(a)
= 0(-cos(a)) - 1sin(a)
= -sin(a)
sin(2π + a) = sin(2π)cos(a) + cos(2π)sin(a)
= 0cos(a) + 1sin(a)
= sin(a)
Now, we have:
cos(3π/2 - a) sin(2π + a) = (-sin(a)) sin(a) = -sin^2(a)
Therefore, the expression simplifies to -sin^2(a).