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Find the smallest positive value of x and y satisfying `x-y=pi/4` and `cotx+coty=2`

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ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi...

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

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  3. Find the smallest positive value of x and y satisfying x-y=pi/4 and co...

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  4. For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real sol...

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  5. Solve that following equations : "tantheta"+"tan"(theta+pi/3)+"tan"(t...

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  6. Find all value of theta, between 0 & pi, which satisfy the equation;...

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  7. Find the general solution of the trigonometric equation sqrt(16cos^4x...

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  8. Find the principal solution of the trigonometric equation sqrt(cot3x +...

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  9. Solve : 2sin(3x+pi/4)=sqrt(1+8sin2x*cos^2 2x)

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  10. If A=[1ta n x-t a n x1],t h e nA^T A^(-1) is [ cos2x s in2x-s in2x cos...

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  11. Solve : (log)((-x^2-6x)//10)(sin3x+sinx)=(log)(-x^2-6x)//10)(sin2x)

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

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  13. Find the least positive angle measured in degrees satisfy sin^3x +sin^...

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  14. Solve for x,y:{sinxcosy=1/4 , 3tanx=tany

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

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  16. General solution of tan5theta=cot2theta is (npi)/7+pi/2^(\ ),\ n Z b....

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

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  18. If 0ltxltpi and cosx + sinx =1/2 , then tanx is (1) ...

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  19. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

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

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