MHT CET202124 Sep 2021Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual
A+2 2 A+4 4 A+8 8 A=
Options
- A2 ~A
- BA
- CA
- D2 ~A
Correct answer
B. A
Step-by-step solution
aligned & A+2 2 A+4 4 A+8 8 A & = A +2 2 ~A +4 4 ~A + 8 ( 2 4 ~A 1- ^2 4 ~A ) & = A +2 2 ~A +4 4 ~A + 8 (1- ^2 ~A ) 2 4 ~A & = A +2 2 ~A + (4 4 ~A )(2 4 ~A )+8 (1- ^2 4 ~A ) 2 4 ~A & = A +2 2 ~A + 8 2 4 ~A & = A +2 2 ~A + 8 2 ( 2 A 1- ^2 2 ~A ) & = A +2 2 ~A + 8 (1- ^2 2 ~A ) 4 2 ~A & = A + (2 2 ~A )(4 2 ~A )+8 (1- ^2 2 ~A ) 4 2 ~A = A + 8 4 2 ~A & = A + 8 4 ( 2 A 1- ^2 ~A ) = A + 8 (1- ^2 ~A ) 8 A & aligned = A (8 A )+8 (1- ^2 ~A ) 8 A = 8 8 A = A