y = sin⁻¹ u/a
The expression y = sin⁻¹(u/a) represents the inverse sine function, also known as arcsine
The expression y = sin⁻¹(u/a) represents the inverse sine function, also known as arcsine. Let’s break down the components of this expression to understand its meaning.
The letter y represents the output of the inverse sine function. It represents the angle whose sine is equal to u divided by a.
The expression sin⁻¹(u/a) indicates that we are taking the inverse sine (arcsine) of the ratio u/a. It is denoted as sin⁻¹ or arcsin.
The ratio u/a represents the input of the inverse sine function. It is the quotient of u divided by a, where u and a are variables or numbers.
To evaluate this expression, you would typically use a calculator or reference table that provides the values of inverse trigonometric functions. Given a specific value for u and a, you can find the angle y whose sine is equal to u divided by a.
It’s important to note that the result of y in this expression will be a radian measure. If you want the answer in degrees, you can convert it by multiplying the radian value by 180/π.
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