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The equation 2sin(x/2).cos^2x+sin^2x=2si...

The equation `2sin(x/2).cos^2x+sin^2x=2sin(x/2)sin^2x+cos^2x` has a root for which

A

statemetn -1 true statement -2 is true statement -2 is a correct explanation for statement -1

B

statement -1 is true statement -2 is true statement -2 is NOT a correct explantation for statement -1

C

statement -1 is true statement -2 is false

D

statement -1 is false statement -2 is true

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The correct Answer is:
a,b,c,d
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FIITJEE-TRIGONOMETIC EQUATIONS -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL II)
  1. The equation 2sin(x/2).cos^2x+sin^2x=2sin(x/2)sin^2x+cos^2x has a root...

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  2. If cos x + cot x +1=cosec x then the possible values of x can be

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  3. If sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R ho...

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  4. If the equation sin x + cos (k +x)+ cos (k-x)=2 has real solutions, th...

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  5. If sin theta =a has exactly 3 solution in theta in [0,(7pi)/(3)] then...

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  6. The values of x satisfying the system of equation 2^("sin" x + "cos"...

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  7. 2 sin^(2)x + sin^(2)2x=2,pi lt x lt pi then x equals

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  8. If (cos^2x+1/(cos^2x)) (1+tan^2 2y)(3+sin3z)=4, then x is an integral ...

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  9. If sqrt(3)(sin theta +cos theta)=2 + sin theta then theta equal to

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  10. If sin(pi cos theta)=cos(pi sin theta), then sin 2theta=

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  11. If 0lt plt 2pi and sin^(-1)(sinp)lt (x^(2))/(y)+(3y^(2))/(x)+(1)/(81xy...

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  12. If z = sec^(-1) (x + 1/x) + sec^(-1) (y + 1/y), where xy< 0, then the ...

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  13. If cos x=sqrt(1-sin 2x),0 le x le pi then a value of x is

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  14. If: tan^(-1)(x-1)/(x+1)+ tan^(-1)(2x-1)/(2x+1) = tan^(-1) 23/36. Then:...

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  15. Solve for x, cos^(-1)((x^(2)-1)/(x^(2)+1))+tan^(-1)((-2x)/(1-x^(2)))=(...

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  16. General solution of the equation 4 cot 2 theta = cot^(2) theta - tan...

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  17. If 1/2lt|x|lt1 then which of the following are real ?

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  18. If 6 sin^(-1)(x^(2)-6x+17/2)=pi then

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  19. The general solution of the equation 2^(cos2x)+1=3*2^(-sin^2x) is

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  20. If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//...

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