why are there only six trigonometric ratios?
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Ratio of the sides of right angled triangle are known as Trigonometric ration and they provide relation between sides and angles of right angle triangle.
For angle A, Sides are described as given in figure.
Ratio of two number can be described as X over Y,(X/Y).
X and Y Both can have three value, H(for hypotenuse), P(for opposite) and B(for adjacent).
If we keep value of X(mean one of H,P,B), Y will have two distinct values.
for instance, X= H then Y= P or B so two ratio for H
similarly for X=P and X=B we will get two ratio for each so , 2+2+2, total Six ratio we will get.
I don’t know whether this is perfect explanation for this or not.
For angle A, Sides are described as given in figure.
Ratio of two number can be described as X over Y,(X/Y).
X and Y Both can have three value, H(for hypotenuse), P(for opposite) and B(for adjacent).
If we keep value of X(mean one of H,P,B), Y will have two distinct values.
for instance, X= H then Y= P or B so two ratio for H
similarly for X=P and X=B we will get two ratio for each so , 2+2+2, total Six ratio we will get.
I don’t know whether this is perfect explanation for this or not.
soubhik:
not sufficient
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