Mathematics

Question

Answer of this question
Answer of this question

1 Answer

  • Answer:

      y = tan(x +π/2)

    Step-by-step explanation:

    It can be helpful to start with a simple sketch of the function you have and of the tangent function. Then, you can see the relationship.

    The tangent function is always rising, has vertical asymptotes at -π/2 and π/2, and has a zero crossing at x=0.

    The function we want is always rising, has vertical asymptotes at x=0 and x=±π, and a zero crossing at x=-π/2.

    We can create the function we want by shifting the tangent function to the left by π/2. The formula that does that is ...

      y = tan(x +π/2)

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