Question

if theta= 30.veryfy tan 2theta= 2tantheta/1+tan^2yheta

Answer 1

heya friend!!
"___________________
1st of all ur question is wrong at the place of 2tan¢/1+tan^2¢ it should be 2tan¢/1-tan^2¢
then ,

¢=30° [given]

and ,now from lhs

tan2¢

=)tan2*30°

=)tan60°=√3---------1)

and now from Rhs.

2tan¢/1+tan^2¢

=)2*tan30°/1+tan^2 30°

=)2*1/√3
--------------
1-*(1/√3)^2

=)2/√3
------------
3-1/3

=)√3 RHS ............1)

so from lhs 1) and Rhs 2) prooved.....

both are equal .......

hope it help you..

@rajukumar☺☺☺

so here

=)2*/√3
-----------
1+1/3