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Find the general values of theta satis...

Find the general values of ` theta ` satisfying ` tan theta + tan ((3pi)/(4) + theta )=2`

A

`n pi +-(pi)/(3), n in Z`

B

`2n pi + (pi)/(3), n in Z`

C

`2 n pi +- (pi)/(3), n in Z`

D

`n pi + (-1)^(n)(pi)/(3), n in Z`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) ...

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  2. The number of solutions of the equation "sin" x = "cos" 3x " in " [0, ...

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  3. Find the general values of theta satisfying tan theta + tan ((3pi)/...

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  4. If sin theta+ cos theta = sqrt(2) cos theta, (theta ne 90^(@)) then v...

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  5. The number of solutions of the equation tanx+secx=2cosx lying in the i...

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  6. If "cot" theta "cot" 7 theta + "cot" theta "cot" 4 theta + "cot" 4 the...

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  7. Find the number of value of x in [0,5pi] satisying the equation 3 cos...

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  8. The number of values of x in [0, 2 pi] that satisfy "cot" x -"cosec"x ...

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  9. "cot" theta = "sin" 2 theta, theta ne n pi, n in Z, "if" theta equals

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  10. The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "si...

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  11. If 1/6sintheta,costheta,tantheta are in GdotPdot, then theta is equal ...

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  12. Number of solutions of the equation "sin" 2 theta + 2 = 4"sin" theta +...

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  13. If "sin" 2x, (1)/(2) " and cos" 2x are in A.P., then the general valu...

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  14. The number of points of intersection of the curves 2y =1 " and " y = "...

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  15. For m ne n, if "tan" m theta = "tan" n theta, then different values of...

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  16. If cos p theta+cos q theta=0, then prove that the different values of ...

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  17. Solutions of the equations "cos"^(2) ((1)/(2) px)+ "cos"^(2) ((1)/(2) ...

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  18. Solve sec theta-1=(sqrt(2)-1) tan theta.

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  19. If "sec"^(2) theta = sqrt(2) (1-"tan"^(2) theta), "then" theta=

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  20. The most general solution of the equation 8"tan"^(2) (theta)/(2) = 1...

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