The value of 3 cosec 20^ - 20^ is equal to

Step-by-step solution

aligned & 3 cosec 20^ - 20^ = 3 20^ - 1 20^ & = 3 20^ - 20^ 20^ 20^ aligned aligned & = 2 ( 3 2 20^ - 1 2 20^ ) 20^ 20^ & = 2 ( 30^ 20^ - 30^ 20^ ) ( 2 20^ 20^ 2 ) aligned aligned & = 4 [ (30^ +20^ ) ] 40^ & = 4 50^ 40^ = 4 (90^ -40^ ) 40^ = 4 40^ 40^ =4 . aligned