Trigonometric Equations Question 44

Question: The equation $ \sin x+\sin y+\sin z=-3 $ for $ 0\le x\le 2\pi , $ $ 0\le y\le 2\pi , $ $ 0\le z\le 2\pi $ , has

[Orissa JEE 2003]

Options:

A) One solution

B) Two sets of solutions

C) Four sets of solutions

D) No solution

Show Answer

Answer:

Correct Answer: A

Solution:

  • Given $ \sin x+\sin y+\sin z=-3 $ is satisfied only when $ x=y=z=\frac{3\pi }{2}, $ for $ x,,y,,z\in [0,2\pi ]. $