The relationship between the basic trigonometric functions taking 3 times the angle in the trigonometric functions of those angles itself, gives The trigonometric triple-angle identities.
You can either expand or simplify the triple angle tan functions like tan 3 A, tan 3 x, tan 3 alpha etc by using triple angle identity.
|Tan 3 theta = 3 tan theta – tan 3 theta / 1 – 3 tan2 theta|
Where tan is a tangent function and theta is an angle. This is one of the important trigonometry formulas.
Tan 3x Formula Example:
If Tan6A.Tan3A=1, then what is the value of A?
(TanX).(CotX)=1 its a formula
Tan6A.Cot6A if equal to 1
Tan6A.Tan3A equal to Tan6A.Cot6A
Divide with Tan6A both sides
So 3A+6A =90
A = 10
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