X(t)=1/(√2) (cos(ωt))
Y(t)=cos(ωt+φ)
Demonstrate using trigonometry and algebra that the two equations are identical.
Plot X(t)=1/(√2) (cos(ωt)) and Y(t)=cos(ωt+φ), with ω = 1. Vary φ until you realize what role it plays in the equation.
What role does φ play in the equation? What value of φ makes the two plots identical? Name another value of φ that makes the two plots identical.
Demonstrate using trigonometry and algebra that the two equations are identical.