Question

2 3π44

Answer 1

Simplifying the L.H.S,

2 sin 2 3π 4 +2 cos 2 π 4 +2 sec 2 π 3 =2 { sin( π− π 4 ) } 2 +2 ( 1 2 ) 2 +2 ( 2 ) 2 =2 { sin π 4 } 2 +2× 1 2 +8 =2 ( 1 2 ) 2 +1+8 =10

L.H.S. = R.H.S.

Hence, the expression has been proved.