To the nearest degree, determine the measure of <X for each value of tan X if the tan X = 0.25
if tan x = .25 then
x = 14°
tan x is also positive in the 3rd quadrant, so tan 194° is also 0.25
To determine the measure of angle X, we can use the inverse tangent function (also known as arctangent or atan). The inverse tangent function takes the ratio of the opposite side to the adjacent side of a right triangle and returns the angle.
In this case, we know that tan(X) = 0.25. The arctangent of 0.25 can be calculated using a scientific calculator, but I can also provide the step-by-step approach.
Step 1: Input the value of 0.25 into the arctangent function.
Step 2: Calculate the inverse tangent (arctangent) of 0.25.
Step 3: The result will be the measure of angle X in radians.
Step 4: Convert the result from radians to degrees (if required).
Using this process, we can determine the measure of angle X to the nearest degree.
To determine the measure of angle X, we can use the inverse tangent function, also known as arctan or tan^-1.
tan(X) = 0.25
To calculate the value of X, we can use the formula:
X = tan^-1(0.25)
Using a calculator, we can find the value of X to the nearest degree.
X ≈ 14 degrees
Therefore, the measure of angle X to the nearest degree when tan X = 0.25 is approximately 14 degrees.