SOLUTION: The figure shows an angle θ in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of θ. Find Tan θ

Algebra ->  Trigonometry-basics -> SOLUTION: The figure shows an angle θ in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of θ. Find Tan θ      Log On


   

Question 587142: The figure shows an angle θ in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of θ. Find Tan θ. the given x,y points are (-5/13, 12/13)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the coordinates of the point where the terminal side intersects the unit circle are (-5%2F13,12%2F13), the tangent can be found as
tan%28theta%29=%2812%2F13%29%2F%28%28-5%2F13%29%29=-12%2F5=-2.4
The measure of that angle, by the way, is approximately 112.7%5Eo.
If the terminal side were the reflection on the y-axis, you would have the reference angle, measuring
67.4%5Eo=180%5Eo-112.7%5Eo.
Then you would see tan%28theta%29 as a ratio of sides in a right triangle
tan%28theta%29=opposite_side%2Fadjacent_side%29