NDA2024MathematicsTrigonometric Ratios & IdentitiesActual
What is the value of 65^ +2 45^ -2 40^ - 25^ ?
Options
- A0
- B1
- C2
- D4
Correct answer
C. 2
Step-by-step solution
(90-25)^ +2-2 40^ - 25^ aligned & = 25^ - 25^ -2 40^ +2 & = 25^ 25^ - 25^ 25^ -2 40^ +2 & = ^2 25^ - ^2 25^ 25^ 25^ -2 40^ +2 & = 2 (25^ ) 25^ 25^ -2 40^ +2 & = 2 50^ 2 25^ 25^ -2 40^ +2 & = 2 50^ 50^ -2 40^ +2 & =2 50^ -2 40^ +2 & =2 40^ -2 40^ +2=2 . aligned