if tan x = .25 then
x = 14°
tan x is also positive in the 3rd quadrant, so tan 194° is also 0.25
x = 14°
tan x is also positive in the 3rd quadrant, so tan 194° is also 0.25
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.
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.