math\nquestion\ndetermine the period of the following tangent graph. if necessary, write your answer as a…
math\nquestion\ndetermine the period of the following tangent graph. if necessary, write your answer as a fraction in simplified form.\ncomplete: 74%\nsecant and secant functions\nnine trig graphs (radian)\nrates of trig functions (level\ndetermine period from trig graph\nposition of trig/inverse trig
Answer
Explanation:
Step1: Recall period - definition
The period of a tangent function (y = A\tan(Bx - C)+D) is given by (T=\frac{\pi}{|B|}). For a tangent - graph, we can also find the period by looking at the horizontal distance between two consecutive vertical asymptotes.
Step2: Identify vertical asymptotes
From the graph, two consecutive vertical asymptotes are at (x = \frac{2}{3}) and (x=\frac{8}{3}).
Step3: Calculate the period
The period (T) is the difference between the (x) - values of two consecutive vertical asymptotes. So (T=\frac{8}{3}-\frac{2}{3}). [T=\frac{8 - 2}{3}=\frac{6}{3}=2]
Answer:
2