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The general value of theta satisfying th...

The general value of `theta` satisfying the equation `2sin^(2)theta-3sintheta-2=0` is

A

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

B

`n pi +(-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:
D
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The solution of the equation cos^2theta+sintheta+1=0 lies in the inter...

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  2. If tantheta+tan4theta+tan7theta=tantheta*tan4theta*tan7theta, then tan...

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  3. The general value of theta satisfying the equation 2sin^(2)theta-3sint...

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  4. Find the general solution of the equation (sqrt3-1) sin theta +(sqrt3 ...

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  5. The most general values of theta satisfying the two equations costheta...

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  6. In a right angled triangle the hypotenuse is 2sqrt(2) times the length...

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  7. The set of values of x for which ("tan" 3x- "tan" 2x)/(1+"tan" 3 x "ta...

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  8. The value of theta , lying between theta =0 and theta=(pi)/(2) and ...

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

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

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

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

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

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

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

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  16. The equation a "sin" x+b "cos" x = c, " where"|c| gt sqrt(a^(2) + b^(2...

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

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

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

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  20. If A and B are acute positive angles satisfying the equations 3 "sin"^...

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