Use a calculator to find the value in decimal degrees. \[ \tan ^{-1}(-1.3727) \] \[ \tan ^{-1}(-1.3727) \approx \square^{\circ} \] (Type your answer in degrees. Round to four decimal places as needed.)

Step 1 ：The question is asking for the inverse tangent (also known as the arctangent) of -1.3727 in degrees. The inverse tangent function, denoted as \(\tan^{-1}\) or arctan, is the inverse of the tangent function. It returns the angle whose tangent is the input number.

Step 2 ：However, this function returns the result in radians, not degrees. To convert radians to degrees, we can use the degrees function.

Step 3 ：Calculating the inverse tangent of -1.3727 gives us approximately -0.9412 radians.

Step 4 ：Converting -0.9412 radians to degrees gives us approximately -53.927 degrees.

Step 5 ：Final Answer: \(\tan^{-1}(-1.3727) \approx \boxed{-53.9270^{\circ}}\)