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General solution of tantheta+tan4theta+t...

General solution of `tantheta+tan4theta+tan7theta=tan4thetatan7theta` is `theta=(npi)/(12),w h e rn in Z` `theta=(npi)/9,w h e rn in Z` `theta=npi+pi/(12),w h e rn in Z` `non eoft h e s e`

A

`(n pi)/(4), n in Z`

B

`(n pi)/(7) + (-1)^(n) (pi)/(2)`

C

`n pi + (-1)^(n) (5pi)/(6)`

D

`n pi + (-1)^(n)(7pi)/(6)`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The equation (cosp-1)^x^2+(cos p)x+s in p=0 in the variable x has real...

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  2. A solution of the equation cos^2theta+sintheta+1=0 lies in the interva...

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  3. General solution of tantheta+tan4theta+tan7theta=tan4thetatan7theta is...

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  4. The general values of theta satisfying the equation 2sin^2thetapi-3sin...

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  5. Find the general solution of the equation (sqrt(3)-1)costheta+(sqrt(...

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  6. The most general value of theta which satisfy both the equation "cos"...

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  7. In a right angled triangle the hypotenuse is 2sqrt(2) times the perpen...

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  8. Solve (tan 3x - tan 2x)/(1+tan 3x tan 2x)=1.

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  9. The value of theta lying between 0 and pi/2 and satisfying the equatio...

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  10. The solution set of (2"cos"x-1)(3+2"cos"x) = 0 in the interval 0 le x ...

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  11. If "tan" 2 theta "tan" theta =1, "then" theta =

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  12. The general solution of the trigonometric equation sinx+cosx=1 is give...

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  13. If sin5x+sin3x+sinx=0 ,then the value of x other than 0 lying between ...

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  14. Find the general values of theta which satisfies the equation tan th...

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  15. The values of theta satisfying "sin" 7 theta = "sin" 4 theta -"sin" th...

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  16. If alpha,beta are the different values of x satisfying acosx+bsinx=c t...

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  17. The equaltion a sin x+b cos x=c, where |c|gtsqrt(a^(2)+b^(2)) has

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  18. If alpha is a root of 25"cos"^(2) theta+ 5"cos" theta-12 = 0, (pi)/(2)...

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  19. If "cos 3x + "sin" (2x - (7pi)/(6)) =-2, then x =

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  20. The number of solutions of 2"cos"^(2)((x)/(2))"sin"^(2) x =x^(2) + (1)...

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