NDA2022MathematicsTrigonometric Ratios & IdentitiesActual
If (45^ + )=1+ 2 , where - 4 4 , then what is the value of 2 ?
Options
- A0
- B1 2
- C1
- D2
Correct answer
C. 1
Step-by-step solution
aligned & (45^ + )=1+ 2 & 45^ + 1- 45^ -1= 2 1+ ^2 aligned aligned & 1+ 1- -1= 2 1+ ^2 & 2 1- = 2 1+ ^2 & 2 (1+ ^2 )=2 (1- ) & ^2 [1+ ^2 -1+ ]=0 & ^2 ( +1)=0 & =0 or =-1 (Not possible) aligned =0 [ - 4 4 ] Now, 2 = =1