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The number of x in [0,2pi] for which s...

The number of `x in [0,2pi]` for which `sqrt(2sin^4 x+18cos^2 x)-sqrt(2cos^4 x+18sin^2 x)=1` is

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ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. Solve : (log)((-x^2-6x)//10)(sin3x+sinx)=(log)(-x^2-6x)//10)(sin2x)

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  2. The values of k for which the equation sin^4 x+cos^4 x+sin2x+k=0 posse...

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  3. The number of distinct solutions of secθ+tanθ= √3 , 0≤θ≤3π, is

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  4. Solve for x,y: sinxcosy=1/4 , 3tanx=tany then sin(x−y)=

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  5. The number of solutions of equation tanx+secx=2cosx lying in the inter...

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  6. General solution of tan5theta=cot2theta is a. (npi)/7+pi/2^(\ ) b. the...

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  7. The number of values of x in the interval [0,3pi] satisfying the equa...

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  8. If 0ltxltpi and cosx +sinx = 1/2 then tan x is (A) (-(4+sqrt(7))/3) (B...

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  9. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

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  10. The possible values of theta in (0,pi) such that sin (theta)+sin(4 th...

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  11. If 0 le x le 2pi, then the number of real values of x, which satisfy t...

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  12. The number of x in [0,2pi] for which sqrt(2sin^4 x+18cos^2 x)-sqrt(2...

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  13. The number of values if k for which the equation 7cosx+5sinx=2k+1 has ...

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  14. The number of ordered pairs (alpha, beta) where alpha, beta in (-pi, p...

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  15. The value of theta in (0,2pi) for which 2sin^2theta-5sintheta+2>0 is (...

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  16. The number of solutions of the pair of equations 2sin^2theta-cos2theta...

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  17. The number of values of theta in the interval (-pi/2, pi/2) such that ...

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  18. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

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  19. Let varphi,phi in [0,2pi] be such that 2costheta(1-sinphi)=sin^2theta(...

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  20. For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

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