Answer:
in degrees: theta = 63.43°
in radians: theta = 1.11 rad
Explanation:
To find the value of the angle theta that gives us tan(theta) = 2, we should use the inverse function of the tangent in the calculator, that is, the arc tangent function.
Then, if we use the arc tangent function (in some calculators, it may be shown as 'atan' or 'tan^-1') in the value 2, we would find:
atan(2) = 63.435°
So the angle theta that gives us tan(theta) = 2 is theta = 63.43°.
Be sure to check in the calculator if the answer is given in degrees or radians.
In radians, we would find theta = 1.1071 rad (rounded to nearest hundredth: theta = 1.11 rad)