Trigonometric Curves

• y = x sin(x)
• y = 1/x sin(x)
• y = x+2sin(x)
• y = 2sin(2x)-cos(x)
• y = sec(x) and y=cos(x)
• y = tan(x)
• r = 2+2cos(\theta)

    Polar Curves

• Circle: f(t) = 4 cos(t)
• Circle: f(t) = 4(sin(t)+cos(t));
• Cardioid:  f(t) = 2(1-sin(t))
• Rose: f(t) = cos(4t)
• Spiral: f(t) = t

    Parametric Graphs

• x(t) = t+sin(4t), y(t)=t+cos(5t))
• x(t) = cos(t)-cos(80t)sin(t), y(t)=100sin(t)-2sin(80t);

       Riemann Sum

• Riemann Sum using Mid Points for f(x) = x(x-2)(x-3)