What do trigonometric graphs represent over a range of angles?

Trigonometric graphs are foundational in understanding how sine, cosine, and tangent functions behave over various angles. The correct answer highlights that these graphs depict the relationship between angle measures (usually in radians or degrees) and the values produced by these trigonometric functions.

For instance, the graph of the sine function shows how the sine value oscillates between -1 and 1 as the angle varies from 0 to 360 degrees (or 0 to (2\pi) radians). Similarly, the cosine graph also oscillates within the same range and is phase-shifted compared to the sine graph. The tangent function, on the other hand, exhibits a different behavior, with its values cycling every (180) degrees (or (\pi) radians) and having asymptotes where it is undefined.

These representations are key to various applications in engineering and physics, helping understand periodic phenomena such as sound waves and alternating currents.

The other options do not align with what trigonometric graphs depict. Basic arithmetic operations do not have a corresponding graphical representation over a range of angles; instead, they pertain to numerical calculations. Linear equations and quadratic functions represent different mathematical relationships that do not reflect the periodic and oscillatory nature of the sine