Question

Sketch one cycle of the sine curve
y = 2 sin theta

Answer 1

y = 2 Sin Θ

Sine curve has a period of 2π.

So like you graph any other function, give different values for Θ between 0 and 2π and find the value for y

For Θ = 0 ; y = 2 Sin 0 = 2 . 0 = 0

For Θ = π/2 ; y = 2 Sin π/2 = 2.1 = 2

For Θ = π ; y = 2 Sin π = 2.0 = 0

For Θ = 3π/2 ; y = 2 Sin 3π/2 = 2. -1 = -2

For Θ = 2π ; y = 2 Sin 2π = 2.0 = 0

Now graph this.