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The equation sin x + sin y + sin z =-3 ...

The equation ` sin x + sin y + sin z =-3 ` for ` 0 le x le 2pi `, `0 le y le 2pi , o le z le 2pi`, has

A

one solution

B

two sets of solutions

C

four sets of solutions

D

no solutions

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
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  7. lambda cos x - 3 sinx=lambda +1 is solvabel for which value of λ .

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  8. cos 2x- 3 cos x + 1=(1)/((cot 2 x - cot x)sin (x-pi)) holds , if

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  9. If sec x cos 5x=-1 and 0 lt x lt (pi)/(4), then x is equal to

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  11. If sqrt(3) sin x - cos x ="min"(alpha in R){2,e^(2),pi, alpha^(2)-4al...

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  12. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

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  13. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

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  14. If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the ...

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  15. The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...

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  16. Solve : cos 3x. Cos^(3)x+sin 3x.sin^(3)x=0

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  17. Total number of solutions of sinx=(|x|)/(10) is equal to

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  18. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

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