y = sec⁻¹ u/a
To understand the expression y = sec⁻¹ u/a, we need to break it down step by step
To understand the expression y = sec⁻¹ u/a, we need to break it down step by step.
1. sec⁻¹: This symbol (⁻¹) represents the inverse cosine function or arcsecant function. It is the inverse of the secant function. In other words, sec⁻¹(x) is the angle whose secant is x. The domain of the sec⁻¹ function is (-∞, -1] U [1, ∞).
2. u: In this case, u is a variable representing any real number.
3. a: Similar to u, a is also a variable representing any real number.
Now, let’s put it all together:
y = sec⁻¹ u/a
The expression above means that y is equal to the angle (in radians or degrees) whose secant is u divided by a. In other words, if you have a value for u and a, you can use the sec⁻¹ function to calculate the angle (y) for which the secant of that angle equals u divided by a.
Please note that when working with trigonometric functions and inverse trigonometric functions, it’s important to keep track of the domains and ranges of these functions to ensure meaningful and correct calculations.
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