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What is the smallest positive number x for which cosine x equals 0?

a) π/2
b) π
c) π/3
d) 2π

User Venny
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1 Answer

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Final answer:

The smallest positive number for which cosine x equals 0 is π/2, as this is the point on the unit circle where the x-coordinate is zero.

Step-by-step explanation:

The smallest positive number x for which the cosine of x equals 0 is π/2. This can be determined from the basic trigonometric properties of a unit circle, where the cosine of an angle represents the x-coordinate of a point on the unit circle. The cosine of π/2 is 0 because at this angle, the corresponding point on the unit circle lies on the y-axis, making the x-coordinate zero.

Therefore, the correct answer to the question is: a) π/2.

User BIT CHEETAH
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