13 6 the tangent function n.
Skip this Video
Loading SlideShow in 5 Seconds..
13.6 – The Tangent Function PowerPoint Presentation
Download Presentation
13.6 – The Tangent Function

Loading in 2 Seconds...

  share
play fullscreen
1 / 10
Download Presentation

13.6 – The Tangent Function - PowerPoint PPT Presentation

paley
150 Views
Download Presentation

13.6 – The Tangent Function

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. 13.6 – The Tangent Function

  2. I. Graphing the Tangent Function • The tangent of an angle is derived from the coordinates of a point on a line that is tangent to a circle. • Tangent θ – the y – coordinate of the point where the line containing the terminal side of the angle intersects the tangent line x = 1.

  3. THINK: TANGENT = OPPOSITE/ADJACENT • Therefore, the tangent is equal to sin/cos

  4. Sketch the graph of the tangent function, using a table from 0  2π

  5. Notice as you graph the tangent function it, approaches infinity, and thus has asymptotes at specified values.

  6. II. Properties of y = a tan b θ • There is no amplitude • Once cycle occurs in the interval from (-π/2b) to (π/b) π/b is the period of the function there is vertical asymptotes at each end of the cycle

  7. Example 1: graph the following: • A) y = 50 tan θ • B) f(x) = tan (π/6)θ

  8. Example 2: solve the following: • A) tan θ = 2 • B) 6 tan θ = 1