Question

cos60 = 1-tan²30/1+tan²3o
prove that RHS = LHS

Answer 1

Lhs = cos 60 =1/2 Rhs =(1- tan^2 30)/(1+tan^2 30) = (1- 1/3)/(1+1/3) Since tan^2 30 = 1/3 =(3-1)/(3+1) =2/4 =1/2 Lhs =Rhs

Answer 2

Step-by-step explanation:

LHS=cos 60=1/2

RHS=(1-tan^2 30)/(1+tan^2 30)

=(1-1/3)/(1+1/3)

Since tan^2 30=1/3

=(3-1)/(3+1)

=2/4

=1/2

LHS=RHS