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tan x degrees = 5. find the value of x to the nearest tenth

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By applying the concept of direct and inverse trigonometric functions, the value of x associated to the trigonometric function tan x = 5 is approximately 78.7°.

How to determine the angle associated to a given trigonometric function

Trigonometric functions are a kind of trascendental functions, these are, functions that cannot be described algebraically. In this case, trigonometric functions calculates ratios between two sides of a right triangle in terms of a given angle. To determine the angle associated to the given trigonometric function we must use inverse trigonometric functions:

tan x = 5

x = atan 5

x ≈ 78.7°

By applying the concept of direct and inverse trigonometric functions, the value of x associated to the trigonometric function tan x = 5 is approximately 78.7°.