By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.
How to calculate trigonometric functions from unit circle
A unit circle is a circle with a radius of a unit used to calculate the value of trigonometric functions associated to a right triangle. In this case, the tangent function for a point (x, y) is:
tan θ = y/x (1)
The trigonometric expression for the tangent of the sum of two angles:
[tex]\tan (\alpha + \theta) = \frac{\tan \alpha + \tan \theta}{1 - \tan \alpha \cdot \tan \theta}[/tex] (2)
Now we proceed to calculate the trigonometric expressions:
[tex]\tan (\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]
[tex]\tan (\pi + \theta) = -9.9[/tex]
[tex]\tan (2\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]
[tex]\tan (2\pi + \theta) = -9.9[/tex]
By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.
To learn more on trigonometric expressions: https://brainly.com/question/6904750
#SPJ2
