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 ]. $


sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें