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The set of values of x for which ("tan" ...

The set of values of x for which `("tan" 3x- "tan" 2x)/(1+"tan" 3 x "tan" 2x) = 1`, is

A

`phi`

B

`{(pi)/(4)}`

C

`{npi + (pi)/(4), n =0, 1, 2, 3,…}`

D

`{2n pi + (pi)/(4), n = 1, 2, 3, ..}`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
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  2. In a right angled triangle the hypotenuse is 2sqrt(2) times the length...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If "sin" A = "sin"B, "cos"A = "cos"B, then the value of A im terms of ...

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  19. Solve 5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi.

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  20. If (1+tantheta)(1+tanphi)=2 then theta+phi=

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