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Prove that the equation k cos x-3sin x=k...

Prove that the equation `k cos x-3sin x=k+1` possess a solution if `k in (-oo,4]`.

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ALLEN-TRIGONOMETRIC EQUATION-All Questions
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  2. Find the number of distinct solutions of sec x + tan x=sqrt(3) , whe...

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  3. Prove that the equation k cos x-3sin x=k+1 possess a solution if k in ...

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  4. Solve : costheta+cos3theta+cos5theta+cos7theta=0

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  6. The general solution of the equation sin^4x + cos^4x= sinx cos x is

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  7. Solve the equation (sinx+cosx)^(1+sin2x)=2, when 0lt=xlt=pi

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  8. Solve the inequation 2^(1/(cos^2 x))sqrt(y^2-y+1/2)<= 1

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  9. The equation 2cos^2x/2sin^2x=x^2+x^(-2);0

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  10. Find the solution set of the inequality sinx > 1/2.

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  11. Find the value of x in the interval [-pi/2,(3pi)/2\ ] for which sqrt(2...

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  14. Find the solution set of equation 5^((1+log5cosx))=5/2

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  15. If the set of all values of x in (-pi/2,pi/2) satisfying |4sinx+sqr...

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  16. Find the values of x in the interval [0,\ 2pi] which satisfy the inequ...

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  17. Find the values of theta , for which cos3theta+sin3theta+(2sin2theta-3...

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

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  19. The number of solutions of the equation (secx)/(1-cosx)=1/(1-cosx) ...

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