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:
Question:
If Tan6A.Tan3A=1, then what is the value of A?
Solution:
(TanX).(CotX)=1 its a formula
Tan6A.Cot6A if equal to 1
Then
Tan6A.Tan3A equal to Tan6A.Cot6A
Divide with Tan6A both sides
Tan3A=Cot6A
Tan(90-3A)=Cot 6A
So 3A+6A =90
90/9= A
A = 10
Visit BYJU’S to learn more trigonometric formulas.
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