BITSAT2011MathematicsTrigonometric EquationsActual
If ( =- 1 2 ) and ( =1 / 3 ), then ( = )
Options
- A(2 n + / 6 )
- B(2 n +11 / 6 )
- C(2 n +7 / 6 )
- D(2 n + / 4 )
Correct answer
C. (2 n +7 / 6 )
Step-by-step solution
We shall first consider values of ( ) between 0 ( aligned & and 2 =- 1 2 =- 6 = ( + 6 ) & or (2 - / 6) & =7 / 6 ; 11 / 6 & =1 / 3 = ( / 6) or ( + / 6) & = / 6,7 / 6 aligned ) The value of ( ) which satisfies both the equations is (7 / 6 ) Hence the general value of ( ) is (2 n +7 / 6 ) where ( n I )