## sin(π/4)

### The expression sin(π/4) represents the sine function evaluated at π/4

The expression sin(π/4) represents the sine function evaluated at π/4. In simpler terms, it asks for the value of sin(x) when x is equal to π/4.

The sine function is one of the basic trigonometric functions. It calculates the ratio of the length of the side opposite an angle in a right triangle to the length of the hypotenuse of the triangle. In this case, we are considering an angle of π/4, which is 45 degrees.

In a right triangle, if one angle is 45 degrees, it means that the other two angles are also 45 degrees each, making it an isosceles right triangle. In an isosceles right triangle, the two equal sides are of length 1, and the hypotenuse is equal to √2.

Using the sine function, we divide the length of the side opposite π/4 (which is also the length of the side adjacent to π/4, as both sides are equal in an isosceles right triangle) by the length of the hypotenuse. Therefore, sin(π/4) = 1/√2, or (√2)/2.

To summarize, sin(π/4) = 1/√2 = (√2)/2, approximately equal to 0.7071.

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