Cos(a+пи/2) если cos a =v3/2

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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.