NDA2018MathematicsTrigonometric Ratios & IdentitiesActual
If = 8 , then what is the value of (2 +1)¹⁰(2 2 -1)¹⁰(2 -1)¹⁰(2 4 -1)¹⁰ ?
Options
- A0
- B1
- C2
- D4
Correct answer
B. 1
Step-by-step solution
[(2 +1)(2 -1)]¹⁰[2 2 -1]¹⁰[2 4 -1]¹⁰ when, = 8 (given) aligned & = (4 ^2 8 -1 )¹⁰ (2 1 2 -1 )¹⁰(-1)¹⁰ & = (4 2+ 2 4 -1 )¹⁰( 2 -1)¹⁰ & =[( 2 +1)( 2 -1)]¹⁰=1¹⁰=1 aligned