Since cos(a) = √3/2, this means that a is in the first quadrant where cos is positive.
We know that cos(π/2) = 0, so we can use the identity cos(a + π/2) = -sin(a).
Since cos(a) = √3/2, sin(a) = √(1 - cos^2(a)) = √(1 - 3/4) = √(1/4) = 1/2.
Therefore, cos(a + π/2) = -sin(a) = -1/2.
Since cos(a) = √3/2, this means that a is in the first quadrant where cos is positive.
We know that cos(π/2) = 0, so we can use the identity cos(a + π/2) = -sin(a).
Since cos(a) = √3/2, sin(a) = √(1 - cos^2(a)) = √(1 - 3/4) = √(1/4) = 1/2.
Therefore, cos(a + π/2) = -sin(a) = -1/2.