NDA2016MathematicsTrigonometric Ratios & IdentitiesActual
If x= 70^ 50^ and y= 60^ 80^ , then what is x y equal to?
Options
- A1/16
- B1 / 8
- C1 / 4
- D1 / 2
Correct answer
A. 1/16
Step-by-step solution
aligned & x= 70^ 50^ and y= 60^ 80^ & x y= 60^ 70^ 50^ 80^ & x y= 1 2 (90-20) (90-40) 80 & x y= 1 2 20 40 80 & ( (90-x)= x) & x y= 1 2 20^ (60-20)^ (60+20)^ & x y= 1 2 [ 1 4 3 (20^ ) ]= 1 2 1 4 60^ = 1 16 . & [ (60- ) (60+ )= 1 4 3 ] aligned