WHAT IS SIN AND COS?

Sin is the measure of how much vertical an element is.

Cos is the measure of how much horizontal an element is.

Consider a light bulb in front of a stick making a shadow on a wall.....

Now if the stick slopes a bit more............

*The length of the shadow cast will also change along with it.

*If the stick becomes completely verical at 90 degree angle, the verical component is maximum.....i.e the shadow of the complete stick is cast on the wall

In mathematics....complete( or whole) is often referred to as the number '1'.

Now if the stick becomes completely horizontal.....then what?

Hence we say that sin of 0 degree i.e sin0 =0.

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Fine...then what is tan and cot?

Tan is the measure of the slope of an object. Cot is nothing but the inverse of that slope.

Hence when an object is fully horizontal i.e at 0 degrees,....we say that tan 0=0.....which simply means that the slope of the object is 0.

Also when an object is fully vertical i.e at 90 degrees,......we maintain that its tan is = infinity............................which means it has an infinite slope.

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Understanding trignometry graphically.

Now consider a graph drawn of a car's .........distance covered( on the y-axis) in a certain time(time being the x-axis).

• If one carefully sees........the slope (the red line) produced in the above graph is very similar to the sloping stick held in front of the bulb in the previous diagrams.
• This slope = tan(angle).
• The time covered on the x-axis (0-T) is cos(angle) i.e (horizontal component).
• The distance covered on the y-axis is the sin(angle) i.e (vertical component).

Thus the new diagram can be written as follows.

APPLICATION OF SIN,COS TAN LINK ---->HERE