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Trigonometry Identities

Trigonometry Identities

Let us take any acute angle taking point P on OB we draw perpendicular PQ on OAB. Thus we have a right angled triangle OPQ. If we suppose

We have OQ2 + PQ2 = OP2--------------(1)

Dividing both sides of (i) by OP2 we get

Similarly, dividing both sides of (1) by OQ2 we get

A gain dividing both sides of (i) by PQ2 , we get

Here, (2), (3) and (4) are all identities. These can be used to express one trigonometric ratio to other trigonometric ratio. For example:

Similarly,

 


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