NDA2022MathematicsTrigonometric EquationsActual
If 1+2( x+ x)( x- x)=0 where 0 x 360^ , then how many values does x take?
Options
- AOnly one value
- BOnly two values
- COnly three values
- DFour values
Correct answer
D. Four values
Step-by-step solution
aligned & 1+2( x+ x)( x- x)=0 & 1+2 ( ^2 x- ^2 x )=0 & 1-2 ^2 2 x=0 aligned aligned & ^2 2 x= 1 2 2 x= 1 2 & x=n 8 x=0, - 8 & + 8 , 2 - 8 . Four values. aligned