(3q) find the amplitude and period of f(t)= -tan.0t

option b

amplitude none ; period 5π/2

Step-by-step explanation:

Given in the question a function,

f(t)=-tan(0.4t)

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx),is the distance between any two consecutive vertical asymptotes.

Period = π/|b|

           = π/2/5

           = 5π/2

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!