AP EAMCET202318 May 2023Evening ShiftMathematicsTrigonometric EquationsActual
aligned & (1+ 8 ) (1+ 2 8 ) (1+ 3 8 ) (1+ 4 8 ) & (1+ 7 8 )= aligned
Options
- A1 16
- B1 64
- C3 16
- D3 64
Correct answer
A. 1 16
Step-by-step solution
aligned & (1+ 8 ) (1+ 2 8 ) (1+ 3 8 ) (1+ 4 8 ) & (1+ 5 8 ) (1+ 6 8 ) (1+ 3 8 ) & = (1+ 8 ) (1+ 4 ) (1+ 3 4 ) (1+ 2 ) & (1+ ( - 3 8 ) ) (1+ 3 4 ) (1+ ( - 8 ) ) & = (1+ 8 ) (1+ 1 2 ) (1+ 3 8 )(1+0) & (1- 3 8 ) (1- 1 2 ) (1- 8 ) & = (1- ^2 8 ) (1- ^2 3 8 ) (1- 1 2 ) & = ^2 8 ^2 3 8 1 2 & = ^2 8 ^2 ( 2 - n 8 ) 1 2 & = ^2 8 ^2 8 1 2 & = 1 4 (2 8 8 )^2 1 2 & = 1 8 ( 4 )^2= 1 8 ( 1 2 )^2= 1 16 & aligned