What is the amplitude and period of f(t)=2.5tan(t) A. amplitude: 2.5; period: π
B. amplitude: 2.5; period: 2π
C. amplitude: none; period: 2π
D. amplitude: none; period: π

I selected A, and I do not know why I got it wrong.

D

Step-by-step explanation:

Tan graphs are a bit different to sin and cos graphs: they don't have an amplitude.

If you look at a tan graph, it exists between assymptotes and has no maximum or minimum value. In this case, the 2.5 acts similar to a dilation factor and makes the graph skinnier or wider.

You were right about the period: it is just pi, not 2 pi like sin and cos. Again, if you look at the graph, the assymptotes occur every period, which is only pi.

Hope that helped : )

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

step-by-step explanation: