- #1
Miike012
- 1,009
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I can find for example Tan(2x) by using Euler's formula for example
Let the complex number Z be equal to 1 + itan(x)
Then if I calculate Z2 which is equal to 1 + itan(2x) I can find the identity for tan(2x) by the following...
Z2 =(Z)2 = (1 + itan(x))2 = 1 + (2i)tan(x) -tan(x)2 = 1 -tan(x)2 + i(2tan(x))
now tan(2x) = Im(Z2)/Re(Z2) = 2tan(x)/(1 - tan2(x)).
QUESTION:
Is there a method (still using complex numbers) to find half angle identities?
Let the complex number Z be equal to 1 + itan(x)
Then if I calculate Z2 which is equal to 1 + itan(2x) I can find the identity for tan(2x) by the following...
Z2 =(Z)2 = (1 + itan(x))2 = 1 + (2i)tan(x) -tan(x)2 = 1 -tan(x)2 + i(2tan(x))
now tan(2x) = Im(Z2)/Re(Z2) = 2tan(x)/(1 - tan2(x)).
QUESTION:
Is there a method (still using complex numbers) to find half angle identities?