Question

Use the table to answer the question.

This table shows the x and y-values required to form an equation.
x 0 π2
π
3π2
2π

y 0 34
0 −34
0
Write the equation of the periodic function based on the table.

(1 point)
Responses

y=−34sinx

y equals negative Start Fraction 3 over 4 End Fraction sine x

y=34cosx

y equals Start Fraction 3 over 4 End Fraction cosine x

y=34sinx

y equals Start Fraction 3 over 4 End Fraction sine x

y=32sinx

Answer 1

y = 34 sin x

Reason: Values match a sine with amplitude 34 and period 2π: sin(0)=0, sin(π/2)=1 → 34, sin(π)=0, sin(3π/2)=-1 → -34, sin(2π)=0.