SOLUTION: For the trig graph below if the answer isn't b=pi and k=2 what must it be? http://i.imgur.com/NdWtb6o.png Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: For the trig graph below if the answer isn't b=pi and k=2 what must it be? http://i.imgur.com/NdWtb6o.png Thank you      Log On


   

Question 930528: For the trig graph below if the answer isn't b=pi and k=2 what must it be?
http://i.imgur.com/NdWtb6o.png
Thank you
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y+=a%2Asec%28+x+-b+%29

y+=a%2Acsc%28+x+-b+%29 -> a=8,b=0,k=1 ->y+=8%2Acsc%28+x+%29
y+=a%2Asec%28+x+-b+%29 there are vertical asymptotes,the asymptote that occurs at pi%2F2 repeats every pi units
so, b=pi%2F2

could have same graph if a=-8,b=pi%2F2,k=1
y++=-8%2Asec%28+x%2Bpi%2F2+%29 should be equal to y+=8%2Acsc%28+x+%29
-cross%288%29%2Asec%28+x+%2Bpi%2F2+%29=cross%288%29%2Acsc%28+x+%29+
-sec%28+x+%2Bpi%2F2+%29=csc%28+x+%29+
csc%28x%29=csc%28x%29............true
so,a=-8,b=pi%2F2,and k=1