NDA2011MathematicsTrigonometric Ratios & IdentitiesActual
If an angle is divided into two parts A and B such that A-B=x and A: B=2: 1 , then what is equal to?
Options
- A3
- B(2 ) / 3
- C( ) / 3
- D2
Correct answer
C. ( ) / 3
Step-by-step solution
aligned & Given that A B = 2 1 & aligned & A B A B = 2 1 & A B- A B= A B aligned & aligned ( A - B ) & = 1 2 2 A B & = 1 2 (A+B)- (A-B) aligned aligned aligned & ( A - B )= x= 1 2 ( - x) & 2 x+ x= & x= 3 aligned