Question
Question: The equation \(\sin x + \sin y + \sin z = - 3\)for \(0 \leq x \leq 2\pi,0 \leq y \leq 2\pi,0 \leq z...
The equation sinx+siny+sinz=−3for
0≤x≤2π,0≤y≤2π,0≤z≤2π, has
A
One solution
B
Two sets of solution
C
Four sets of solution
D
No solution
Answer
One solution
Explanation
Solution
Given,f(x)=sin4x+cos4xis satisfied only when
x=y=z=23π; for x,y,z,∈[0,2π].