COMEDK2023MathematicsTrigonometric Equations
The general solution of 2 4 x+ ^2 2 x=0 is
Options
- Ax= n 2 ⁻¹ ( 1 5 )
- Bx= n 4 + (-1)^n 4 ⁻¹ ( 2 2 3 )
- Cx= n 2 ⁻¹ ( 1 5 )
- Dx= n 4 + (-1)^n 4 ⁻¹ ( 1 5 )
Correct answer
B. x= n 4 + (-1)^n 4 ⁻¹ ( 2 2 3 )
Step-by-step solution
Given, 2 4 x+ ^2 2 x=0 array ll & 2 4 x+ ( 1- 4 x 2 )=0 & 3 4 x+1=0 array array ll & 4 x=- 1 3 & 4 x= 2 2 3 & 4 x=n +(-1)^n ⁻¹ ( 2 2 3 ) & x= n 4 + (-1)^n 4 ⁻¹ ( 2 2 3 ) array