Trigonometric Graphs

Trigonometric Graphs

Remember the trigonometric ratios and quadrants?

The trigonometric angles can also be represented in a graphic form.

A sample Trigonometric Graph ( y = sin x)

1. The graph has a maximum and minimum point.

2. One complete cycle takes 360^o.

Y = Sin X

1.  The graph has a complete cycle of 360^o.

2. The graph is above 0 in the first and second quadrants(0^o - 180^o)

       => SinX is positive, the value is greater than 0.

3. The graph is below 0 in the third and fourth quadrants (180^o - 360^o)

       => SinX is negative, the value is less than 0.

4. The maximum value of SinX is 1.

5.  The minimum value of SinX is -1.

y = Cos X

1.  The graph has a complete cycle of 360^o.

2. The graph is above 0 in the first and 4th quadrants(0^o - 90^o, 270^o - 360^o)

       => SinX is positive, the value is greater than 0.

3. The graph is below 0 in the second and third quadrants (180^o - 270^o)

       => SinX is negative, the value is less than 0.

4. The maximum value of CosX is 1.

5.  The minimum value of CosX is -1.

Y =  Tan X

1.  The graph has a complete cycle of 360^o

2. The graph is above 0 in the first and third quadrants(0^o - 90^o, 270^o - 360^o)

       => TanX is positive, the value is greater than 0.

3. The graph is below 0 in the second and fourth quadrants (180^o - 270^o)

       => TnX is negative, the value is less than 0

4. There is no maximum or minimum value as both go towards to infinity