Wave as a sin curve

Before discussing the sin curve, we need to know what sin curve is. Actually, according to the rules of quadrant, when the curve of the sin value is drawn, it is called a sin curve. 

According to the quadrant formula, that is to say in Quadrant-I all value positive, in Quadrant-II only sin value is positive and the others are negative. Quadrant-III only tan positive and the others are negative. Quadrant-IV only cos value positive and the others are negative. 

Now, the sea wave always flows in the curve way according to law of Quadrant. So, we can capture the ocean wave as a sin curve. 

Because, when the crest and the trough of the ocean wave are connected to each other vertically separating them from the average sea level, then a circle will be created. If we divide it into 4 quadrants and calculate every sin value then a curve similar to the sin curve is available. So, wave is called sin curve. That is the intersection of the ocean waves on the average sea bottom, crest and trough adhere to a particular rule that is the quadrant follows the formula. 

We can calculate the angles according to the following formulas-

Y= a . sin ϕ                                             Where,

                                                                      Y= Function,

                                                                       a=Amplitude,

                                                                       ϕ=Angle.

Now the amplitude of the 0° angle will be-

Y=a .sin ϕ

   =a . 0

   = 0

Now the amplitude of the 90° angle will be-

Y=a .sin ϕ

   =a.sin90

  = a.1      ₒ°ₒ Amplitude= +1

Now the amplitude of the 180° angle will be-

Y=a .sin ϕ

   =a.sin180°

   =a.sin(2×90°+0)

  =a.sin0°

  0

                                                  So, the wave always flows according to the rules of quadrant. Wave is also called cos curve by many others.

Fig: Wave as a sin curve