What is an equation for a sine curve with amplitude 2, and period 4radians? (1 point) Responses y = 0.5sin4θ y = 0.5sin4 θ y = 4sin y = 4sin Image with alt text: Start Fraction theta over 2 End Fraction y = 2sin2θ y = 2sin2 θ y = 2sin
sin(kx) has amplitude 2π/k. so, we want
a sine curve with amplitude 2, and period 4radians,
meaning we want 2π/k = 4, so k = π/2, giving
y = 2sin(π/2 x)
But looking at the answers, it looks like the whole thing has been messed up.
θ
You are correct. The correct equation for a sine curve with amplitude 2 and period 4 radians is:
y = 2sin(2θ)