Tangent 3 Theta Formula

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

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