Question

Use the table to answer the question.



θ
f(θ)
0 2
0
-2
0
2
Determine the missing inputs in your table of values for the first cycle of the function f(θ)=2cos(5θ2)
.

(1 point)
Responses

π2, π, 3π2, 2π
π2, π, 3π2, 2π

5π2, 5π, 15π2, 10π
5π2, 5π, 15π2, 10π

π5, 2π5, 3π5, 4π5
π5, 2π5, 3π5, 4π5

π10, π5, 3π10, 2π5

Answer 1

f(θ) = 2 cos(5θ/2) has angular frequency 5/2, so period T = 2π / (5/2) = 4π/5. The quarter points are T/4 = π/5, 2T/4 = 2π/5, 3T/4 = 3π/5, and T = 4π/5.

So the missing θ-values are: π/5, 2π/5, 3π/5, 4π/5.