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$e^{sin(x)}$

Definition

This expression refers to raising Euler's number ($e$) to the power of sine evaluated at x. It results in an exponential function that oscillates between values close to 1 and -1.

Analogy

Think of $e^{sin(x)}$ as an adventurous roller coaster ride where your height above the ground continuously changes based on how high or low you are on the sin(x) curve.

Related terms

Euler's Number ($e$): A mathematical constant approximately equal to 2.71828, often used in exponential functions and calculus.

Sine Function: A trigonometric function that relates angles in a right triangle with ratios of side lengths.

Exponential Function: A mathematical function with a constant base raised to variable exponents, resulting in rapid growth or decay.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.