Question

if a = 30 prove that

Answer 1

just put the value of a in the l.h.s and r.h.s

Answer 2

If it is given that, A = 30°, then just put the values.

LHS=

(1 + sin 60° + cos 60°)/(sin 30° + cos 30°)
= (1 + _/3/2 + 1/2)/(1/2 + _/3/2)
= (( 2 + _/3 +1)/2)/(1 + _/3)/2
= (3 + _/3)/(1 + _/3)
= _/3(_/3 + 1)(1 + _/3)
= _/3

RHS=

2 cos 30°
= 2×_/3/2
= _/3

So, RHS = LHS
(has been proven)