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If xsina+ysin2a+zsin3a=sin4a xsinb+ysin...

If `xsina+ysin2a+zsin3a=sin4a` `xsinb+ysin2b+zsin3b=sin4b`, `xsinc+ysin2c+zsin3c=sin4c`, then the roots of the equation `t^3-(z/2)t^2-((y+2)/4)t+((z-x)/8)=0,a , b , c ,!=npi,` are (a)`sina ,sinb ,sinc` (b) `cosa ,cosb ,cosc` (c)`sin2a ,sin2b ,sin2c` (d) `cos2a ,cos2bcos2c`

A

sin a , sin b , sin c

B

cos a, cos b , cos c

C

sin 2a , sin 2b , sin 2c

D

cos 2a , cos 2b , cos 2c

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The correct Answer is:
B
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
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  2. The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin ...

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  3. If xsina+ysin2a+zsin3a=sin4a xsinb+ysin2b+zsin3b=sin4b, xsinc+ysin2c...

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  4. Find the least positive value of x satisfying (sin^2 2x+4sin^4x-4sin^...

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  5. The maximum value of the expression |sqrt(sin^2x+2a^2)-sqrt(2a^2-1-...

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  6. The general solution of 8 tan^(2)""(x)/(2)=1+ sec x is

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  7. General solution of tan theta+tan 4 theta+tan 7 theta=tan theta tan 4 ...

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  8. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

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  9. Find the number of solution(s) of the equation cos (pi sqrt(x)) cos ...

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  10. The number of real solution of equation Sin(e^x) = 5^x + 5^(-x) is :

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  11. Evaluate int 3x^5 dx

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  12. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

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  13. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

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  14. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

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  15. Find dy/dx if 2x+3y=sinx

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  16. In the interval [-pi/2,pi/2] the equation log(sin theta)(cos 2 theta)=...

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  17. If sum(i=1)^(n) cos theta(i)=n, then the value of sum(i=1)^(n) sin the...

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  18. If (sin alpha)^(x)+(cos alpha)^(x) ge 1,0 lt a lt (pi)/(2) then

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  19. The most general values of 'x' for which sin x + cos x ="min"(a in R)...

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