EquationMediumQuestion 200031
Question
If sin θ = sin φ, then one relation between θ and φ is:
- Aθ = φ only
- Bθ = π − φ only
- Cθ = nπ + (−1)ⁿ φCorrect
- Dθ = 2nπ ± φ
Correct answer
θ = nπ + (−1)ⁿ φ
Explanation
General solution when sin θ = sin φ is θ = nπ + (−1)ⁿ φ. This covers both θ = φ and θ = π − φ.