cos (x - π/2) = 0

To solve for x in the equation cos(x - π/2) = 0, we can use the fact that cos(π/2) = 0.

First, we can add π/2 to both sides of the equation to get cos(x - π/2 + π/2) = cos(x) = cos(π/2).

Next, we can find all the angles where cos(θ) = 0 by using the unit circle or a calculator. One such angle is θ = π/2.

Therefore, we have x - π/2 = π/2 + 2πn or x - π/2 = 3π/2 + 2πn, where n is an integer.

Solving for x in each equation, we get x = π + 2πn or x = 2π + 3π/2 + 2πn, where n is an integer.

So the solutions for x are x = π + 2πn or x = 5π/2 + 2πn, where n is an integer.