Understanding the Sine Function and its Value at 90 Degrees | Explained Mathematically

sin90º

The sine of 90 degrees, denoted as sin(90º), is equal to 1

The sine of 90 degrees, denoted as sin(90º), is equal to 1.

In mathematics, trigonometric functions such as sine, cosine, and tangent are used to relate the angles of a right triangle to the ratios of its sides. The sine function specifically represents the ratio of the length of the side opposite an angle to the length of the hypotenuse.

In a right triangle with a 90-degree angle (also known as a right angle), the side opposite the right angle is the longest side of the triangle, known as the hypotenuse. Since the hypotenuse is the longest side, its length can be considered as 1 unit.

Hence, in this case, sin(90º) = opposite/hypotenuse = 1/1 = 1. So the sine of 90 degrees is 1.

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