To graph sine functions, create a table of values. Fill in the missing values for the table that would be used to graph f(θ)=3sin(2θ)
.(1 point)
θ
f(θ)
0 0
π4
π2
0
3π4
π
0
θ f(θ)
0 0
π/4 3sin(π/2)
π/2 3sin(π)
0 3sin(0)
3π/4 3sin(3π/2)
π 3sin(2π)
0 3sin(0)
To fill in the missing values, we need to evaluate the sine function at the given values of θ.
θ f(θ)
0 0
π/4 3sin(π/2) = 3(1) = 3
π/2 3sin(π) = 3(0) = 0
0 3sin(0) = 3(0) = 0
3π/4 3sin(3π/2) = 3(-1) = -3
π 3sin(2π) = 3(0) = 0
0 3sin(0) = 3(0) = 0
So the complete table of values for f(θ) = 3sin(2θ) is:
θ f(θ)
0 0
π/4 3
π/2 0
0 0
3π/4 -3
π 0
0 0