Question

IIf theta=30° prove that tan2theta=2tantheta/1-tan²theta

Answer 1

Step-by-step explanation:

theta=30°

LHS=tan2theta

=tan2.30

=tan60

=√3

RHS=2tan30/1-tan²30

=2.(1/√3)/1-1/3

=(2/√3)/(2/3)

=2/√3×3/2

=3/√3

=√3

LHS=RHS

So,tan2θ=2tanθ/1-tan²θ