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The general solution of the equation `2cos2x = 3.2cos^2x - 4` is (A) `x = 2n pi, n in I` (B) `x = n pi, n in I` (C) `x = (n pi)/4, n in I` (D) `x = (n pi)/2, n in I`

A

`x=2npi,n in"I"`

B

`x=npi,n in"I"`

C

`x=(npi)/4,n in"I"`

D

`x=(npi)/2,n in"I"`

Text Solution

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The correct Answer is:
B
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MOTION-TRIGONOMETRIC EQUATION-EXERCISE 1
  1. The general solution of the equation 2cos2x = 3.2cos^2x - 4 is (A) x ...

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  2. The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" th...

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  3. Total number of solutions of sinx.tan4x=cosx belonging to (0,pi) are

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  4. All solutions of the equation 2 sin theta + tan theta =0 are obtained...

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  5. The most general solution of tan theta =-1 and cos theta = 1/sqrt 2 i...

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  6. If 2cos^2(pi+x)+3 sin(pi+x) vanishes then the values of x lying in the...

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  7. If x in [0, pi/2], then the number of roots of equation sin7x + sin4x ...

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  8. (cos3theta)/(2cos2theta-1)=1/2 if (n in 1)

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  9. sin3theta=4sinthetasin2thetasin4theta in 0<=theta<=pi has

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

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  11. Find the number of solutions of sintheta + 2sin2theta + 3sin3theta + 4...

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  12. The number of solutions of |cosx|=sinx,0lexle4pi is-

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  13. No. of solution in the equation x=4sinx when in [0,2pi]

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  14. Find the number of solution of the equation 30|sinx|=x"in" 0lexle2pi

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  15. Total number of solution of the equation 3x+2tanx= (5pi)/2 "in" x in [...

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  16. The set of the solution satisfying inequality |sin x| lt 1/2 is

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  17. The set of solution satisfying inequality 2cos^2theta+sinthetale2, whe...

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  18. The set solution satisfying inequality sintheta +sqrt3costhetage1, -pi...

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  19. A triangle ABC is such that sin(2A+B)= 1/2. If A,B,C are in A.P. then ...

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  20. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

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