Question

prove tan 22° + tan 23° + tan 22°tan 23° = 1

Answer 1

tan22 + tan23 + tan22.tan23 = 1
 =tan(22+23)[1- tan22.tan23] + tan22.tan23 
=tan 45 [ 1- tan22.tan23 ] + tan22.tan23
 =1- tan22.tan23+tan22.tan23 
=1

Answer 2

tan22 + tan23 + tan22.tan23 = 1
=tan(22+23)[1- tan22.tan23] + tan22.tan23
=tan 45 [ 1- tan22.tan23 ] + tan22.tan23
=1- tan22.tan23+tan22.tan23
=1
May this help you..