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If sin 2x+sin4x=2sin3x then x=...

If `sin 2x+sin4x=2sin3x` then x=

A

`(npi)/(3)`

B

`npi+(pi)/(3)`

C

`2npipm(pi)/(3)`

D

none of these

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The correct Answer is:
A
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. tantheta+tan2theta=tanthetatan2theta=1

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  2. sec4theta - sec2theta=2

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  3. If sin 2x+sin4x=2sin3x then x=

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  4. The equation alpha sin x +b cos x =c where |c| gt sqrt(a^2+ b^2) has

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  5. If tan ((p pi)/4)=cot ((qpi)/4), then prove that p+q=2(2n+1), n in Z.

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  6. 2sin^(2)x + sin^(2)2x =2

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  7. If tan(cotx)=cot(tanx), then sin2x is equal to

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

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  9. The solution of the equation sectheta-cosectheta=(4)/(3) is

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  10. The general value of theta satisfying the equation tan^2theta+sec2thet...

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  11. The general value of theta in the equation 2sqrt(3)costheta=tantheta i...

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  12. The number of values of x in the interval [0,5pi] satisfying the equat...

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  13. Principal solutions of the equation sin 2x + cos 2x = 0, where pi < x ...

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  14. If 2sin^(2)theta=3costheta, where 0lethetale2pi, then find the value ...

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  15. If 5cos2theta+2"cos"^(2)(theta)/(2)+1=0, when (0ltthetaltpi), then t...

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  16. The smallest positive angle which satisfies the equation 2sin^(2)theta...

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  17. The equation 3sin^(2)x+10cosx-6=0 is satisfied, if

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  18. The solution of the equation cos^(2)x-2cosx=4sinx-sin2x,0lexlepi, is

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  19. cos2theta = (sqrt(2)+1)(costheta -1/sqrt(2))

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  20. If 32 tan^8 theta =2 cos^2 alpha-3 cos alpha and 3cos2 theta =1, then ...

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