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Find the general solution of the equatio...

Find the general solution of the equation
`(sqrt(3)-1)costheta+(sqrt(3)+1)sintheta=2`

A

`2n pi +-(pi)/(4) + (pi)/(12)`

B

`n pi + (-1)^(n)(pi)/(4) + (pi)/(12)`

C

`2n pi+-(pi)/(4)-(pi)/(12)`

D

`n pi + (-1)^(n)(pi)/(4)-(pi)/(12)`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
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  3. Find the general solution of the equation (sqrt(3)-1)costheta+(sqrt(...

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

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

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

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

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

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

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

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

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

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

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  19. If A and B are acute positive angles satisfying the equations 3 sin^(2...

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  20. The equation "sin" theta = x +(p)/(x) for real values of x is possible...

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