If cos(x) = 0, what is the value of x?

If cos(x) = 0, what is the value of x?

Correct Answer: π/2 + nπ

Step 1: Understand that cos(x) is a trigonometric function that gives the cosine of an angle x.
Step 2: Know that cos(x) = 0 at specific angles on the unit circle.
Step 3: Identify the angles where the cosine value is zero. These angles are π/2 (90 degrees) and 3π/2 (270 degrees).
Step 4: Recognize that these angles repeat every full rotation (2π radians).
Step 5: Write the general formula for these angles: x = π/2 + nπ, where n is any integer (0, ±1, ±2, ...).
Step 6: Conclude that the value of x can be any angle of the form π/2 + nπ.

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