Tan() is a measure of how sloping an object/influence is.
Sin( ) is the perpendicular component of that object/influence.
Cos( ) is the parallel component of that object/influence.
To make an object more sloping, don't you have to make it more and more perpendicular w.r.t the ground.
This increases the value of Sin( ).....for Sin( ) is the perpendicular component of any object/influence.
At the same time, the value of Cos( ) reduces. Cos( ) is the parallel component of any object/influence.
The more and more perpendicular you make the ladder w.r.t the ground....the less and less parallel you make it w.r.t the ground, isn't it ? In (When Sin( ) increases ------> Cos( ) will decrease)
Similarly,
The more and more parallel you make the ladder w.r.t the ground...the less and less perpendicular you make it w.r.t ground.
So, Tan( ) is directly proportional to Sin( ) or the perpendicular component.
And
Tan ( ) is inversely proportional to Cos( ) or the parallel component.
The above is an excerpt from these eBooks that i have written.
e-book links
VISUALIZING MATH 1 e-book link
PDF LINK FOR VISUALIZING MATH 2
https://gum.co/visualizingmath2book
My Youtube Channel Link below.
VISUALIZING MATH YOUTUBE CHANNEL.
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