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The equation 2 sin "" (x)/2 cos^2 x -...

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

A

`sin 2 x = 1`

B

`sin 2 x = -1`

C

`cos x = 1/2`

D

`cos 2 x = -1/2 `

Text Solution

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The correct Answer is:
A, B, C, D
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ML KHANNA-TRIGONOMETRICAL EQUATIONS -SELF ASSESSMENT TEST
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  2. If sintheta=sinalpha, then

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  3. The general solution of the trigonometic equation "sin"x + "cos"x = 1...

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  4. The general solution of equation sin^2 theta sec theta + sqrt3 tan th...

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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 a theta-tan b theta=0, then prove that the values of theta form...

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  7. If cos p theta+cos q theta=0, then prove that the different values of ...

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

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  9. The maximum value of sin (x + x/6) + cos (x + pi/6) int eh interval (0...

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  10. If x = X "cos" theta-Y "sin" theta, y = X "sin" theta + Y "cos" theta ...

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  11. The general solution of the equation tan^2 x + 2 sqrt3 tan x = 1is giv...

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  12. Let P= {theta : sin theta - cos theta = sqrt2 cos theta} and Q =...

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  13. For 0 lt theta lt pi/2, the solutions of sigma(m-1)^(6)"cosec"(theta+(...

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  14. The positive integer value of n gt 3 satisfying the equation (1)/(sin(...

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  15. The number of all possible values of theta,where 0 lt thetalt pi for w...

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  16. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

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  17. If sqrt3cos theta + sin theta = sqrt2 then general value of theta is

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  18. The general solution of sinx-cosx=sqrt(2), for any integer n is

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  19. If tan2theta =1, then the general value of theta is

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  20. The equation a "cos" x - "cos" 2x = 2a-7 passesses a solution if

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  21. General value of theta obtained from the equation cos 2 theta = sin al...

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