SOLUTION: The graph of tan(T) is shifted right 90° and has the period increased to 360°. What is the transformed equation?

Algebra ->  Trigonometry-basics -> SOLUTION: The graph of tan(T) is shifted right 90° and has the period increased to 360°. What is the transformed equation?      Log On


   



Question 1143425: The graph of tan(T) is shifted right 90° and has the period increased to 360°. What is the transformed equation?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28A%28T%2BB%29%5E%22%22%29 is shifted |B| units left if B is positive and

|B| units right is B is negative. so to shift it right 90°, B has to
be negative.  So the equation has it has to be of this form:

tan%28A%28T-90%5Eo%29%5E%22%22%29  

The period of tan%28A%28T%2BB%29%5E%22%22%29 is 180%5Eo%2FA so to make the
period 360°, we must have

180%5Eo%2FA=360%5Eo

Multiply both sides by A

180%5Eo=360%5Eo%2AA

180%5Eo%2F360%5Eo=A

1%2F2=A

tan%28expr%281%2F2%29%28T-90%5Eo%29%5E%22%22%29  <---answer

Edwin