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 ]. $