Question

For x ∈ (0, π), the equation sin x + 2sin2x −sin3x = 3 has

• A. Infinitely many solutions
• B. Three solutions
• C. One solution
• D. No solution

Answer 1

Answer: (D)

No solution

Answer 2

The correct answer is option D) No solution

The least value of R.H.S is 3 at x = π/2 while the greatest value of L.H.S is 3 at x = π/3.
Hence, L.H.S and R.H.S are not equal at the same value of x. so, no solution