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12-15.

If , what must be true about the sign of:

Graph each function using the input bar below or on your graphing calculator. What do you observe about the -values when is between and /2?

When graphing using the input bar, sin() is equivalent to sin().    

  1. sin(θ

    The -values are negative.

    Repeating wave curve, first visible high & low points: (negative 3 pi halves, comma 1) & (negative pi halves, comma negative 1), continuing in that pattern, just past 5 pi halves.

  2. cos(θ

    Use the same method as part (a). It might also help to think about how the sin() and cos() graphs relate to each other.

  3. tan(θ

    Use the same method as part (a).

    positive

  4.  

    Does taking the reciprocal of something change its sign?