Question

tan inverse 1/4 value?​

Answer 1

The value of$tan^-1(1/4)$ is approximately 14.04 degrees.

The inverse tangent (tan^-1) is the function that returns the angle whose tangent is a given number.

The value of$tan^-1(1/4)$is approximately 14.04 degrees.

It's important to mention that the range of the Inverse tangent function is (-90,90) degrees or (-π/2, π/2) radians. So the angle whose tangent is 1/4 is between -45 and 45 degrees or between -π/4 and π/4 radians.

• The inverse of a function is a reciprocal relationship between the function and its output. In other words, it "undoes" the function, and maps the output back to the input. The inverse of a function is denoted by placing a "^-1" after the function name.

• For example, the inverse of the function "f(x) = 2x" is $"f^-1(x) = x/2",$because $f^-1(f(x)) = x$ for any value of x.

• Inverse functions have the property that for any input value, the function and its inverse will give an output that, when put into the other function, will yield the original input value.

• Inverse Trigonometric functions are the functions which are used to find the measure of an angle when the ratio of two sides of a right angled triangle is known. The inverse functions are denoted by the prefix arc or the symbol '^-1' after the function name.

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