Let “OPQ” be a triangle where angle POQ is , and it’s base be “x” and perpendicular “y” as shown in the picture below:
Appealing to the Pythagorian theorem, we have:
Now let us suppose op be “r” then:
This is called the fundamental Pythagorian identity of trigonometry.
From this we can also develop other identities as:
Dividing both side of fundamental Pythagorian identity by
And now dividing both side of fundamental Pythagorian identity by
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