π/2
The expression “π/2” represents the number pi divided by 2
The expression “π/2” represents the number pi divided by 2. Pi, denoted by the Greek letter π, is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. Pi is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. It is approximately equal to 3.14159.
When pi is divided by 2, we get π/2, which is approximately equal to 1.5708. This value is important in many mathematical concepts and equations. One of the significant uses of π/2 is in trigonometry. In particular, the value π/2 corresponds to 90 degrees, or a right angle.
In a unit circle, which is a circle with a radius of 1, the measure of the central angle that intercepts an arc with a length equal to the radius is π/2 or 90 degrees. This angle is known as a right angle, and it is the basis for various trigonometric functions like sine, cosine, and tangent.
For example, when working with trigonometric functions, if we substitute π/2 into the sine function, sin(π/2), it evaluates to 1. Similarly, the cosine function, cos(π/2), evaluates to 0, and the tangent function, tan(π/2), is undefined as it results in division by zero. These values are commonly used in calculations involving triangles, waves, oscillations, and various other mathematical applications.
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