Question

Identity help!!

tan2x=

Answer 1

identity means wat? @madigrieve

Answer 2

a true relation?

Answer 3

\[\tan(2x) = \frac{2 \tan(x)}{1 - \tan^2(x)}\]

Answer 4

how did you get that?

Answer 5

This is the basic identity..

Answer 6

thanks

Answer 7

Or I can show you if you want..

Answer 8

i get that one now

Answer 9

ill post another problem hold on

Answer 10

tan (A + B) = (tan A + tan B)/(1 - (tan A)(tan B))
u can write tan2 x=tan(x+x) now plug a=b=x
thus tan(2x)=2tan(x)/1−tan2(x)

Answer 11

Remember there is another formula:

\[\tan(x +y) = \frac{\tan(x) + \tan(y)}{1 - \tan(x) \cdot \tan(y)}\]
here replace y by x..

Answer 12

oh ok i get the tan one now!

Answer 13

that is true...

\[\frac{1}{2}(\sin(x) \cos(y) + \cancel{\cos(x) \sin(y)} + \sin(x) \cos(y) - \cancel{\cos(x) \sin(y)})\]

\[\implies \frac{1}{2}(2 \sin(x) \cos(y)) \implies \color{blue}{\sin(x) \cos(y)}\]

Answer 14

thank you so much!!

Answer 15

Welcome dear..