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The number of solutions of the pair of e...

The number of solutions of the pair of equations ` 2sin^2theta−cos2theta=0 `and` 2cos ^2 θ−3sinθ=0 ` in the interval `[0,2π] ` is :

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ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. Let S1 be the set of all those solutions of the equation (1+a)costhe...

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  2. If cotθ+cosecθ=5 , find cosθ.

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  3. The number of solutions of the pair of equations 2sin^2theta−cos2th...

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  4. Consider the system of equations sin x cos 2y=(a^(2)-1)^(2)+1, cos x...

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  5. Consider the system of equations sinx.cos2y=(a^2−1)^2+1, cosx.sin2y=a ...

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  6. The number of ordered triplets of positive integers which are solution...

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  7. If sinA=sin B and cosA=cosB , then find the value of A in terms of Bdo...

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  8. Solve the equation 1+ 2 "cosec" x =(-sec^(2)""(x)/(2))/(2)

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  9. Solve the equation : cot x=2 , sin2x=1

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  10. If alpha\ &\ beta satisfy the equation, a cos2theta+b sin2theta=c th...

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  11. The number of solution of the equation sqrt(13-18tanx)=6 tan x-3, wher...

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  12. Solve: cottheta +cos e ctheta=sqrt(3)

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  13. Solve : sin5x=cos2x for all values of x between 0^0\ &\ 180^0

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  14. Solve the equation : (1-t a ntheta)(1+sin2theta)=1+t a ntheta

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  15. Solve sec4theta-sec2theta=2

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  16. Solve the equation : cos3xdotcos^3x+s in3xdotsin^3x=0

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  17. Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi...

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  18. Solve the inequality : sin3x< sin x

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  19. Solve the inequality : tan^2x-(sqrt(3)+1)\ t a n x+sqrt(3)<0

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  20. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

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