2sin(2theta-20)=1

Question

Helpppppppppp

Answer 1

Assuming that "20" means 20°

 

2sin(2θ-20) = 1

 

  sin(2θ-20) = 1/2

 

  2θ - 20° = 30° + k(360°) or 150° + k(360°)

 

         2θ = 50° + k(360°) or 170° + k(360°)

 

           θ = 25° + k(180°) or 85° + k(180°), where k = 0, ±1, ±2,...

 

If k = 0, then θ = 25° or 85°

If k = 1, then θ = 205° or 265°, etc