Final answer:
The values of f(θ) for the given θ-values are: a) f(π/4) = 1, b) f(π/2) = undefined, c) f(π) = 0, and d) f(3π/4) = -1.
Step-by-step explanation:
The given function f(θ) = tan(θ) represents the tangent function, which is a trigonometric function that relates the ratio of the length of the opposite side of a right triangle to the length of its adjacent side.
To find the values of f(θ) for specific θ-values, we substitute the given θ-values into the function:
- f(π/4) = tan(π/4) = 1
- f(π/2) = tan(π/2) = undefined (because the tangent of π/2 is undefined)
- f(π) = tan(π) = 0
- f(3π/4) = tan(3π/4) = -1
So, the values of f(θ) for the given θ-values are:
- a) f(π/4) = 1
- b) f(π/2) = undefined
- c) f(π) = 0
- d) f(3π/4) = -1